{ "_provenance": { "J43_words": "BMSW arXiv:1907.01251 supplementary_material.mpl, J := Vector(7,[...]) entry 4 (eps^3 coeff of the d=2-2eps S111 expansion = weight-3 J_4^(3)); extracted and exact-rational-parsed; 101 terms = 6 depth-1 + 8 depth-2 + 86 depth-3 + C_4_3, 14-letter kernel alphabet, 13 words with eta_2. EXACT SYMBOLIC DATA (published closed form), not a numeric cache.", "J42_words": "AGW/BMSW J_4^(2) (eps^0 weight-2 master), same word grammar; identical to the eps^0 closed form of sunrise-row09/10/11-evaluate.py.", "gates": "Independent AMFlow reference values (d=2-2eps, 280-300 digits) of the (1,1,1) master, eps^0 (J0, positive control) and eps^1 (J1, the eps^1 gate), computed independently with the auxiliary-mass-flow method (AMFlow, Liu & Ma, arXiv:2201.11669) in arbitrary-precision ball arithmetic; used only for the gate comparison, never in the computation. None of the 9 points is marked as held out of any fit (the eps^1 closure is evaluated with zero free parameters; no flag of that kind exists in this file). The paper's count for this row is the worst/best eps^1 agreement over the nine points at --full --dps 300 (288-308 digits; per point, the agreement is capped by the reference's own digits_avail, which the run reaches at that tier), stated in paper_claims below and gated by the evaluator at that tier; each point carries the provenance of its AMFlow value (goal digits, eps order, threads, both ball radii, the eps^1 ball's digit count, the sha256 of the input configuration and of the output file, the output file's name, wall and peak memory at the thread count the key names (16 threads; 4 threads at the four points re-run at goal 280, which also carry their goal-250 twin: output sha256 and the pair agreement), the landed stamp) and the flags in_fit: false and held_out_in_pslq_fit: false with its role: every point is a prediction of the zero-parameter closure.", "paper_literals": "The digits the paper prints for E^(1) in its sunrise-family section ('Reference values for an independent re-check'), trailing digits truncated." }, "J43_terms": [ [ "6", "C_4_2", [ "eta_2_tau" ] ], [ "-1/2", "C_4_2", [ "omega_0_tau" ] ], [ "-2", "C_4_2", [ "omega_2_z1_2tau" ] ], [ "-2", "C_4_2", [ "omega_2_z2_2tau" ] ], [ "6", "C_4_2", [ "omega_2_z3_2tau" ] ], [ "-4", "C_4_2", [ "omega_2_z3_tau" ] ], [ "-8", "L1", [ "omega_0_tau", "omega_3_z1_2tau" ] ], [ "4", "L1", [ "omega_0_tau", "omega_3_z1_tau" ] ], [ "-1", "L1", [ "omega_0_tau", "omega_3_z2_tau" ] ], [ "-1", "L1", [ "omega_0_tau", "omega_3_z3_tau" ] ], [ "-1", "L2", [ "omega_0_tau", "omega_3_z1_tau" ] ], [ "-8", "L2", [ "omega_0_tau", "omega_3_z2_2tau" ] ], [ "4", "L2", [ "omega_0_tau", "omega_3_z2_tau" ] ], [ "-1", "L2", [ "omega_0_tau", "omega_3_z3_tau" ] ], [ "1", "C_4_3", [] ], [ "24", null, [ "eta_2_tau", "omega_0_tau", "omega_3_z1_2tau" ] ], [ "-6", null, [ "eta_2_tau", "omega_0_tau", "omega_3_z1_tau" ] ], [ "24", null, [ "eta_2_tau", "omega_0_tau", "omega_3_z2_2tau" ] ], [ "-6", null, [ "eta_2_tau", "omega_0_tau", "omega_3_z2_tau" ] ], [ "24", null, [ "eta_2_tau", "omega_0_tau", "omega_3_z3_2tau" ] ], [ "-6", null, [ "eta_2_tau", "omega_0_tau", "omega_3_z3_tau" ] ], [ "24", null, [ "omega_0_tau", "eta_2_tau", "omega_3_z1_2tau" ] ], [ "-6", null, [ "omega_0_tau", "eta_2_tau", "omega_3_z1_tau" ] ], [ "24", null, [ "omega_0_tau", "eta_2_tau", "omega_3_z2_2tau" ] ], [ "-6", null, [ "omega_0_tau", "eta_2_tau", "omega_3_z2_tau" ] ], [ "24", null, [ "omega_0_tau", "eta_2_tau", "omega_3_z3_2tau" ] ], [ "-6", null, [ "omega_0_tau", "eta_2_tau", "omega_3_z3_tau" ] ], [ "-8", null, [ "omega_0_tau", "omega_2_z1_2tau", "omega_3_z1_2tau" ] ], [ "2", null, [ "omega_0_tau", "omega_2_z1_2tau", "omega_3_z1_tau" ] ], [ "-8", null, [ "omega_0_tau", "omega_2_z1_2tau", "omega_3_z2_2tau" ] ], [ "2", null, [ "omega_0_tau", "omega_2_z1_2tau", "omega_3_z2_tau" ] ], [ "-8", null, [ "omega_0_tau", "omega_2_z1_2tau", "omega_3_z3_2tau" ] ], [ "2", null, [ "omega_0_tau", "omega_2_z1_2tau", "omega_3_z3_tau" ] ], [ "-8", null, [ "omega_0_tau", "omega_2_z2_2tau", "omega_3_z1_2tau" ] ], [ "2", null, [ "omega_0_tau", "omega_2_z2_2tau", "omega_3_z1_tau" ] ], [ "-8", null, [ "omega_0_tau", "omega_2_z2_2tau", "omega_3_z2_2tau" ] ], [ "2", null, [ "omega_0_tau", "omega_2_z2_2tau", "omega_3_z2_tau" ] ], [ "-8", null, [ "omega_0_tau", "omega_2_z2_2tau", "omega_3_z3_2tau" ] ], [ "2", null, [ "omega_0_tau", "omega_2_z2_2tau", "omega_3_z3_tau" ] ], [ "24", null, [ "omega_0_tau", "omega_2_z3_2tau", "omega_3_z1_2tau" ] ], [ "-6", null, [ "omega_0_tau", "omega_2_z3_2tau", "omega_3_z1_tau" ] ], [ "24", null, [ "omega_0_tau", "omega_2_z3_2tau", "omega_3_z2_2tau" ] ], [ "-6", null, [ "omega_0_tau", "omega_2_z3_2tau", "omega_3_z2_tau" ] ], [ "24", null, [ "omega_0_tau", "omega_2_z3_2tau", "omega_3_z3_2tau" ] ], [ "-6", null, [ "omega_0_tau", "omega_2_z3_2tau", "omega_3_z3_tau" ] ], [ "-16", null, [ "omega_0_tau", "omega_2_z3_tau", "omega_3_z1_2tau" ] ], [ "4", null, [ "omega_0_tau", "omega_2_z3_tau", "omega_3_z1_tau" ] ], [ "-16", null, [ "omega_0_tau", "omega_2_z3_tau", "omega_3_z2_2tau" ] ], [ "4", null, [ "omega_0_tau", "omega_2_z3_tau", "omega_3_z2_tau" ] ], [ "-16", null, [ "omega_0_tau", "omega_2_z3_tau", "omega_3_z3_2tau" ] ], [ "4", null, [ "omega_0_tau", "omega_2_z3_tau", "omega_3_z3_tau" ] ], [ "-32", null, [ "omega_0_tau", "omega_3_z1_2tau", "omega_2_z1_2tau" ] ], [ "16", null, [ "omega_0_tau", "omega_3_z1_2tau", "omega_2_z1_tau" ] ], [ "32", null, [ "omega_0_tau", "omega_3_z1_2tau", "omega_2_z3_2tau" ] ], [ "-16", null, [ "omega_0_tau", "omega_3_z1_2tau", "omega_2_z3_tau" ] ], [ "16", null, [ "omega_0_tau", "omega_3_z1_tau", "omega_2_z1_2tau" ] ], [ "-8", null, [ "omega_0_tau", "omega_3_z1_tau", "omega_2_z1_tau" ] ], [ "-4", null, [ "omega_0_tau", "omega_3_z1_tau", "omega_2_z2_2tau" ] ], [ "2", null, [ "omega_0_tau", "omega_3_z1_tau", "omega_2_z2_tau" ] ], [ "-12", null, [ "omega_0_tau", "omega_3_z1_tau", "omega_2_z3_2tau" ] ], [ "6", null, [ "omega_0_tau", "omega_3_z1_tau", "omega_2_z3_tau" ] ], [ "-32", null, [ "omega_0_tau", "omega_3_z2_2tau", "omega_2_z2_2tau" ] ], [ "16", null, [ "omega_0_tau", "omega_3_z2_2tau", "omega_2_z2_tau" ] ], [ "32", null, [ "omega_0_tau", "omega_3_z2_2tau", "omega_2_z3_2tau" ] ], [ "-16", null, [ "omega_0_tau", "omega_3_z2_2tau", "omega_2_z3_tau" ] ], [ "-4", null, [ "omega_0_tau", "omega_3_z2_tau", "omega_2_z1_2tau" ] ], [ "2", null, [ "omega_0_tau", "omega_3_z2_tau", "omega_2_z1_tau" ] ], [ "16", null, [ "omega_0_tau", "omega_3_z2_tau", "omega_2_z2_2tau" ] ], [ "-8", null, [ "omega_0_tau", "omega_3_z2_tau", "omega_2_z2_tau" ] ], [ "-12", null, [ "omega_0_tau", "omega_3_z2_tau", "omega_2_z3_2tau" ] ], [ "6", null, [ "omega_0_tau", "omega_3_z2_tau", "omega_2_z3_tau" ] ], [ "-4", null, [ "omega_0_tau", "omega_3_z3_tau", "omega_2_z1_2tau" ] ], [ "2", null, [ "omega_0_tau", "omega_3_z3_tau", "omega_2_z1_tau" ] ], [ "-4", null, [ "omega_0_tau", "omega_3_z3_tau", "omega_2_z2_2tau" ] ], [ "2", null, [ "omega_0_tau", "omega_3_z3_tau", "omega_2_z2_tau" ] ], [ "8", null, [ "omega_0_tau", "omega_3_z3_tau", "omega_2_z3_2tau" ] ], [ "-4", null, [ "omega_0_tau", "omega_3_z3_tau", "omega_2_z3_tau" ] ], [ "-8", null, [ "omega_2_z1_2tau", "omega_0_tau", "omega_3_z1_2tau" ] ], [ "2", null, [ "omega_2_z1_2tau", "omega_0_tau", "omega_3_z1_tau" ] ], [ "-8", null, [ "omega_2_z1_2tau", "omega_0_tau", "omega_3_z2_2tau" ] ], [ "2", null, [ "omega_2_z1_2tau", "omega_0_tau", "omega_3_z2_tau" ] ], [ "-8", null, [ "omega_2_z1_2tau", "omega_0_tau", "omega_3_z3_2tau" ] ], [ "2", null, [ "omega_2_z1_2tau", "omega_0_tau", "omega_3_z3_tau" ] ], [ "-8", null, [ "omega_2_z2_2tau", "omega_0_tau", "omega_3_z1_2tau" ] ], [ "2", null, [ "omega_2_z2_2tau", "omega_0_tau", "omega_3_z1_tau" ] ], [ "-8", null, [ "omega_2_z2_2tau", "omega_0_tau", "omega_3_z2_2tau" ] ], [ "2", null, [ "omega_2_z2_2tau", "omega_0_tau", "omega_3_z2_tau" ] ], [ "-8", null, [ "omega_2_z2_2tau", "omega_0_tau", "omega_3_z3_2tau" ] ], [ "2", null, [ "omega_2_z2_2tau", "omega_0_tau", "omega_3_z3_tau" ] ], [ "24", null, [ "omega_2_z3_2tau", "omega_0_tau", "omega_3_z1_2tau" ] ], [ "-6", null, [ "omega_2_z3_2tau", "omega_0_tau", "omega_3_z1_tau" ] ], [ "24", null, [ "omega_2_z3_2tau", "omega_0_tau", "omega_3_z2_2tau" ] ], [ "-6", null, [ "omega_2_z3_2tau", "omega_0_tau", "omega_3_z2_tau" ] ], [ "24", null, [ "omega_2_z3_2tau", "omega_0_tau", "omega_3_z3_2tau" ] ], [ "-6", null, [ "omega_2_z3_2tau", "omega_0_tau", "omega_3_z3_tau" ] ], [ "-16", null, [ "omega_2_z3_tau", "omega_0_tau", "omega_3_z1_2tau" ] ], [ "4", null, [ "omega_2_z3_tau", "omega_0_tau", "omega_3_z1_tau" ] ], [ "-16", null, [ "omega_2_z3_tau", "omega_0_tau", "omega_3_z2_2tau" ] ], [ "4", null, [ "omega_2_z3_tau", "omega_0_tau", "omega_3_z2_tau" ] ], [ "-16", null, [ "omega_2_z3_tau", "omega_0_tau", "omega_3_z3_2tau" ] ], [ "4", null, [ "omega_2_z3_tau", "omega_0_tau", "omega_3_z3_tau" ] ] ], "J42_terms": [ [ "1", "C_4_2", [] ], [ "4", null, [ "omega_0_tau", "omega_3_z1_2tau" ] ], [ "-1", null, [ "omega_0_tau", "omega_3_z1_tau" ] ], [ "4", null, [ "omega_0_tau", "omega_3_z2_2tau" ] ], [ "-1", null, [ "omega_0_tau", "omega_3_z2_tau" ] ], [ "4", null, [ "omega_0_tau", "omega_3_z3_2tau" ] ], [ "-1", null, [ "omega_0_tau", "omega_3_z3_tau" ] ] ], "masses_sq": { "112": [ 1, 1, 2 ], "123": [ 1, 2, 3 ], "114": [ 1, 1, 4 ] }, "gates": { "112": [ { "t": "-1", "J0": "-1.7661200788746117700988174424591915867221279861065432505340284490003149148764872299074201030552485993757381383259024880926916455502484862281713525154726663610586972588399815987549069308836866719716491682835166709378857742331575937292018287586262375466180178731645750923973284686261556714128", "J1": "6.0674421870813777236951364975716116694310481097511811574538663568818845246005361845845307842792839549208109765005583066771929920170187019124460277510898450848366815174726643242659289481133724559671136293826513431347797270636462459710507646033736035174395564462843646549429847512711725996191", "source": "AMFlow independent reference (d=2-2eps, master (1,1,1,0,0), eps^0 and eps^1 coeffs, arb ball), 288 digits", "digits_avail": 288, "masses_sq": [ 1, 1, 2 ], "amflow_goal_digits": 280, "amflow_eps_order": 11, "amflow_threads": 16, "amflow_eps1_ball_radius": "3.60e-290", "amflow_eps1_ball_digits": 289, "amflow_eps0_ball_radius": "7.71e-291", "amflow_config_sha256": "2338de8870e245c82c194ae92534049f95b6bafeb7c01146c02bf21cabcc8949", "amflow_output_sha256": "7dee86f7e6681183308fd4e6ab7b8a689939b141d1ef5a414c4a47fe61863bfc", "amflow_output_file": "sun112_d2_tm1_g280_o11b.json", "wall_16thr": "7:23:07", "max_rss_kB": 1635056, "landed_utc": "2026-06-16T08:34:49Z", "in_fit": false, "held_out_in_pslq_fit": false, "role": "prediction point of a zero-parameter closure (no fit exists)" }, { "t": "-2", "J0": "-1.7066787288454362153295636169430607446828010994536923408310786632312300470148182842100035151476976403156876628006503094283495445430590212170611107621723347577086215822161560694454748152778979338380965636939710116701322241867050387774279862168243174905107120149872682879018256779972699145463", "J1": "5.9973708162309139241855138854899230722883741682800429104049854811693088973604994210742742476690236514422883091950566207493376848747371962683316603997391068253336289985212017577301793573826373706842078242391793233038406081239335158887237971532368145300007886635478211026117973217370926707338", "source": "AMFlow independent reference (d=2-2eps, master (1,1,1,0,0), eps^0 and eps^1 coeffs, arb ball), 288 digits", "digits_avail": 288, "masses_sq": [ 1, 1, 2 ], "amflow_goal_digits": 280, "amflow_eps_order": 11, "amflow_threads": 4, "amflow_eps1_ball_radius": "4.22e-291", "amflow_eps1_ball_digits": 290, "amflow_eps0_ball_radius": "4.49e-290", "amflow_config_sha256": "d200d804910d7ce5aa812471db673d977f84940ab4e2bee5e4e3526d781472be", "amflow_output_sha256": "1aab091e7beba5b1e343f5559159dab6a3b14d5d590299db9f6f0b7c8833e7be", "amflow_output_file": "sun112_d2_tm2_g280_o11_item74.json", "wall_4thr": "16:55.65", "max_rss_kB": 1174692, "landed_utc": "2026-09-06T15:33:08Z", "in_fit": false, "held_out_in_pslq_fit": false, "role": "prediction point of a zero-parameter closure (no fit exists)", "amflow_twin": { "amflow_goal_digits": 250, "amflow_output_sha256": "cf10126a8a2c3e408f717abd62bd559aad7b155e61fb71783aee1c2bc67f3af8", "amflow_output_file": "sun112_d2_tm2_g250_o11_item74.json", "amflow_eps1_ball_radius": "4.79e-260", "pair_digits": 259.9, "pair_floor_order": "eps^2" } }, { "t": "-5", "J0": "-1.5576512293514574267313117717699456125709699794532713076057531350114025269348837015356778113953166067919174088257609587013421341480424962315608086001128896388670611972433231274715758972275741859890044576716254637533754090352527746645933723317563211872801088310948668448145868533382200019382", "J1": "5.7934976954016310466640217113298940160254480129213833240277942057404625211118811272558990978810841894854510185564763876097424508925269338320347922225567641821279206500463183737566736954492831400656945782189959611326831869997755714143687324612140265992618854761279246970241944608630774718920", "source": "AMFlow independent reference (d=2-2eps, master (1,1,1,0,0), eps^0 and eps^1 coeffs, arb ball), 288 digits", "digits_avail": 288, "masses_sq": [ 1, 1, 2 ], "amflow_goal_digits": 280, "amflow_eps_order": 11, "amflow_threads": 4, "amflow_eps1_ball_radius": "1.74e-291", "amflow_eps1_ball_digits": 290, "amflow_eps0_ball_radius": "2.50e-290", "amflow_config_sha256": "5a7573635ff9539dd08a7a441ea25eedbeaf48fae70002ca617f4d252bd88593", "amflow_output_sha256": "2c59d958067b7f76be3964bfdedd14c9cf5fb75b4256faea9ce88189e4693fcb", "amflow_output_file": "sun112_d2_tm5_g280_o11_item74.json", "wall_4thr": "16:10.55", "max_rss_kB": 1386612, "landed_utc": "2026-09-06T15:43:13Z", "in_fit": false, "held_out_in_pslq_fit": false, "role": "prediction point of a zero-parameter closure (no fit exists)", "amflow_twin": { "amflow_goal_digits": 250, "amflow_output_sha256": "ecd766aff8af77a94d89b105ca0b21b1b3959fab2fb2e0d3e807fc8426f48c71", "amflow_output_file": "sun112_d2_tm5_g250_o11_item74.json", "amflow_eps1_ball_radius": "2.80e-260", "pair_digits": 259.58, "pair_floor_order": "eps^5" } } ], "123": [ { "t": "-1", "J0": "-1.222999405866538014484513662682718992185287552124111563145122214141333700969968346467921291667290146906571091578648678275153501722692516410182539696127929812312113461955149317134823500683759755903173260950498756472630253856367651996817874324027444609411617165110993429098359451146239321793157756576233100644222", "J1": "5.076114627586561111925451707739036857228019645295328648434533904299971055026047319607926399998327484782928387779620610090305966141212235533819079554972227414286216692579323352799160420049405734539282168581677207884157568691376829417940818601809328440394285554040807308378250790853060629368381173579964484013678", "source": "AMFlow independent reference (d=2-2eps, master (1,1,1,0,0), eps^0 and eps^1 coeffs, arb ball), 308 digits", "digits_avail": 308, "masses_sq": [ 1, 2, 3 ], "amflow_goal_digits": 300, "amflow_eps_order": 11, "amflow_threads": 16, "amflow_eps1_ball_radius": "4.96e-310", "amflow_eps1_ball_digits": 309, "amflow_eps0_ball_radius": "2.15e-310", "amflow_config_sha256": "002877dcdd9a0e3fbe885a41d5ac542e54f68c1c89eb86191f491f204e3c0f88", "amflow_output_sha256": "1da204c2829a8b6ed068d4e4901ca5bc0a53f71554072653632007054fcb0d87", "amflow_output_file": "sun123_d2_tm1_g300_o11b.json", "wall_16thr": "8:50:45", "max_rss_kB": 1859236, "landed_utc": "2026-06-18T15:51:50Z", "in_fit": false, "held_out_in_pslq_fit": false, "role": "prediction point of a zero-parameter closure (no fit exists)" }, { "t": "-2", "J0": "-1.1939861510435399066699131379258008694166994424830936731575914102506652328927877263223619069592160338590468212542603849134396402694294591122597343671182575201378307975719639471668997432428447819679504765682917484771986462150439874045173940473884771325703328019731220908488902494426293357649", "J1": "5.0218570400428789833741125943833720655624655336073217229716923365904706533872835664460550297353808097556464587863120916734300776785477562387944401289814220940359707163458991488772852237747425470350053703664647363243960435870837954152980038410996538500104802318723196252608178859636624388302", "source": "AMFlow independent reference (d=2-2eps, master (1,1,1,0,0), eps^0 and eps^1 coeffs, arb ball), 288 digits", "digits_avail": 288, "masses_sq": [ 1, 2, 3 ], "amflow_goal_digits": 280, "amflow_eps_order": 11, "amflow_threads": 4, "amflow_eps1_ball_radius": "1.88e-290", "amflow_eps1_ball_digits": 289, "amflow_eps0_ball_radius": "4.21e-291", "amflow_config_sha256": "473898f46108196ac7750ac0bd69a4cbb360b9f2e5668043538028f3d90a401b", "amflow_output_sha256": "2078095a929cd22c47cd48f45fd051d9ab2c0cff48320b066588de122cc8172b", "amflow_output_file": "sun123_d2_tm2_g280_o11_item74.json", "wall_4thr": "20:18.48", "max_rss_kB": 1403976, "landed_utc": "2026-09-06T15:41:56Z", "in_fit": false, "held_out_in_pslq_fit": false, "role": "prediction point of a zero-parameter closure (no fit exists)", "amflow_twin": { "amflow_goal_digits": 250, "amflow_output_sha256": "d752604828322662ed8474561611c0910adbdcb44ced4d3a7b07f80973edd3d0", "amflow_output_file": "sun123_d2_tm2_g250_o11_item74.json", "amflow_eps1_ball_radius": "2.77e-260", "pair_digits": 259.52, "pair_floor_order": "eps^2" } }, { "t": "-5", "J0": "-1.1174993818935977730661475675863071321472580186409730114077763858436777884280427506397864270940415621354868818252128083459742829615409475039310224515282582326410239400321650726164521417847697255011471416321008757884639294918476876937991347652468799179705368180782051764375934483693053800900", "J1": "4.8682732481900868518872953523579087520403695933231332610404658361467944265937978864104992457535155987401375592992260608319072325336494513762810381034048574398491835212970620762607474813943738773717861200876022111580173401802161079303716025821650932541938221543465410274346995141179018317466", "source": "AMFlow independent reference (d=2-2eps, master (1,1,1,0,0), eps^0 and eps^1 coeffs, arb ball), 288 digits", "digits_avail": 288, "masses_sq": [ 1, 2, 3 ], "amflow_goal_digits": 280, "amflow_eps_order": 11, "amflow_threads": 4, "amflow_eps1_ball_radius": "4.80e-290", "amflow_eps1_ball_digits": 289, "amflow_eps0_ball_radius": "4.65e-290", "amflow_config_sha256": "5ce3b9c0135a8d705e08d7c7e3e1d9f663c12920f6736f31e04ef8add6d60fdf", "amflow_output_sha256": "7bf455bf7ce4cbf71514a7c8763e4d94488ab55c3e59f4b4a35a9f53da211278", "amflow_output_file": "sun123_d2_tm5_g280_o11_item74.json", "wall_4thr": "17:28.17", "max_rss_kB": 1313080, "landed_utc": "2026-09-06T16:10:07Z", "in_fit": false, "held_out_in_pslq_fit": false, "role": "prediction point of a zero-parameter closure (no fit exists)", "amflow_twin": { "amflow_goal_digits": 250, "amflow_output_sha256": "f20bfc38ee339b67ad1d23196491ccec6a9b47cfac7848a9b961608726f77973", "amflow_output_file": "sun123_d2_tm5_g250_o11_item74.json", "amflow_eps1_ball_radius": "4.66e-260", "pair_digits": 259.71, "pair_floor_order": "eps^0" } } ], "114": [ { "t": "-1", "J0": "-1.3491471681176710491754302823812984317010819361138718448649134409819783133793814515396084725617004125717841818018647619788296896353101591178877791307350621686436771709813317055586343181595079388544051860005989897223773645800834186983392943154965295132517154829335991917591063420828716492806", "J1": "5.2761135233741922720161992594891748589013967270916011642679028694356233596093721831028002841578731754563840977192938837760017070904256874061060392746875770316385127205062708945044183413961362170884420691385150689497647046158833062724417145630706194833665030165682588566170412337537321404423", "source": "AMFlow independent reference (d=2-2eps, master (1,1,1,0,0), eps^0 and eps^1 coeffs, arb ball), 288 digits", "digits_avail": 288, "masses_sq": [ 1, 1, 4 ], "amflow_goal_digits": 280, "amflow_eps_order": 11, "amflow_threads": 16, "amflow_eps1_ball_radius": "2.58e-290", "amflow_eps1_ball_digits": 289, "amflow_eps0_ball_radius": "2.56e-290", "amflow_config_sha256": "1782594902d1e318bd3552d148e379432097bf9522cad1f2d17a3c3a69d02e9e", "amflow_output_sha256": "94a6b6b888cb4ec620b1cfe100d25389dd2503ab0e57342c0e66394cbb4ace73", "amflow_output_file": "sun114_d2_tm1_g280_o11b.json", "wall_16thr": "7:28:24", "max_rss_kB": 1634576, "landed_utc": "2026-06-18T08:34:48Z", "in_fit": false, "held_out_in_pslq_fit": false, "role": "prediction point of a zero-parameter closure (no fit exists)" }, { "t": "-3", "J0": "-1.2826793601931399671702658019180342971829501826365610621840536766470719046543995624688237948822919690317669180977646845944235733382382900144825494882947379920428527966059103638283493449724660832402270043710589060261166778054953564541924248005055412466744010351155811268342483245260233676912", "J1": "5.1647606265764931031768746778932042943024038675364993475824798073729192810773424192698470871238158509074892884673236255216523084295161169896325548847374710830358845168728334856262472295120429111200808297076266518865423272711935955698526387747183972659080591032623595686937629240460940796742", "source": "AMFlow independent reference (d=2-2eps, master (1,1,1,0,0), eps^0 and eps^1 coeffs, arb ball), 288 digits", "digits_avail": 288, "masses_sq": [ 1, 1, 4 ], "amflow_goal_digits": 280, "amflow_eps_order": 11, "amflow_threads": 16, "amflow_eps1_ball_radius": "3.65e-290", "amflow_eps1_ball_digits": 289, "amflow_eps0_ball_radius": "4.30e-290", "amflow_config_sha256": "cd9f5451a9eb678197114a9276b9cca5d8523944e964ed98ced1dea56c5602b1", "amflow_output_sha256": "28b101b61528bed9a798f8874277829f87d05d884790455e80881021543d441a", "amflow_output_file": "sun114_d2_tm3_g280_o11b.json", "wall_16thr": "7:28:15", "max_rss_kB": 1635660, "landed_utc": "2026-06-18T13:12:01Z", "in_fit": false, "held_out_in_pslq_fit": false, "role": "prediction point of a zero-parameter closure (no fit exists)" }, { "t": "-5", "J0": "-1.2247393851440754304902809575760510691155449756649951616214508693055110053599777162246572033375708722250144289356011983588581342537978310472431899712074965911897010177757463426323173950036766531331207994210534619884472141999451847039784217438242861748272763340721405130204546840711374472489", "J1": "5.0591545247723895982015405493233279091979025357286973874610809750079954037805048224075460525055911342829320887700846392059053423128100331814063657719202263162101500808644335948979536088071634946089206499244028877963556993108742354321258188550456887002129028303040590204778028256497397563857", "source": "AMFlow independent reference (d=2-2eps, master (1,1,1,0,0), eps^0 and eps^1 coeffs, arb ball), 288 digits", "digits_avail": 288, "masses_sq": [ 1, 1, 4 ], "amflow_goal_digits": 280, "amflow_eps_order": 11, "amflow_threads": 16, "amflow_eps1_ball_radius": "4.91e-290", "amflow_eps1_ball_digits": 289, "amflow_eps0_ball_radius": "1.91e-290", "amflow_config_sha256": "bb80b5400eb7bfd0f865d2b1c5d31099ea3bf2afd1b120a24e17814ce17e8559", "amflow_output_sha256": "6ecaae5b885cf2ad746f6091dcc6c1183cb2895aa3160f8e9386925544c1adc1", "amflow_output_file": "sun114_d2_tm5_g280_o11b.json", "wall_16thr": "7:26:47", "max_rss_kB": 1636084, "landed_utc": "2026-06-18T15:59:04Z", "in_fit": false, "held_out_in_pslq_fit": false, "role": "prediction point of a zero-parameter closure (no fit exists)" } ] }, "paper_literals": [ { "mass": "112", "t": "-5", "E1": "12.166814", "where": "paper, sunrise-family section, 'Reference values for an independent re-check', eps^1 item, (1,1,2) at t = -5 (8 printed digits, trailing digits truncated)" } ], "paper_claims": [ { "text": "agrees with the independent AMFlow values at nine never-fit points to 288-308 digits (working precision 300; the floor at each point is its reference's goal)", "measured_over": "all_nine_reference_points", "tier": "--full --dps 300", "worst_digits": 288, "best_digits": 308, "per_mass": { "112": { "worst": 288, "best": 288 }, "123": { "worst": 288, "best": 308 }, "114": { "worst": 288, "best": 288 } }, "where": "paper, sunrise-family section, 'Reference values for an independent re-check', eps^1 item" } ] }