collatz: add completion m16→m17 to C2 artefacts

**Motivations:**
- Extend C2 multi-transition chain beyond m=16
- Keep deterministic C2 artefacts aligned with new completion docs

**Root causes:**
- No completion doc existed for m>16, so C2 verifier couldn’t include it

**Correctifs:**
- Add complétion_minorée_m16_vers_m17.md with exhaustive both(m=16) list and declared |R_17^comp|
- Regenerate C2 deterministic artefacts and run report to include the new transition

**Evolutions:**
- None

**Pages affectées:**
- applications/collatz/collatz_k_scripts/complétion_minorée_m16_vers_m17.md
- docs/artefacts/collatz/c2_projective/verification_c2_projective.json
- docs/artefacts/collatz/c2_projective/verification_c2_projective.md
- docs/collatz_run_report_2026-03-09_c2_projective.md

applications/collatz/collatz_k_scripts/complétion_minorée_m16_vers_m17.md

@@ -0,0 +1,178 @@
+# Complétion par frères au palier 2^17 (m=16 → m=17)
+
+## Introduction
+
+Ce document prolonge le schéma (C2.1) « complétion par frères ⇒ résidu = enfants des both » sur la transition m=16 → m=17, en partant d’un noyau déjà complété au palier 2^16.
+
+L’entrée de cette transition est le résidu complété \(R_{16}^{\mathrm{comp}}\) obtenu à la transition précédente (voir `complétion_minorée_m15_vers_m16.md`). À ce stade, la transition m→m+1 est une montée de palier : chaque classe a exactement deux enfants au palier suivant.
+
+## Données de départ
+
+- Palier m=16 : \(|R_{16}^{\mathrm{comp}}| = 2202\) (résidus impairs modulo \(2^{16}=65536\)).
+- Palier m=17 (montée de palier, avant ajout de clauses nouvelles stabilisées à \(2^{17}\)) :
+  \[
+  |R_{17}^{\mathrm{comp}}| = 2\cdot|R_{16}^{\mathrm{comp}}| = 4404.
+  \]
+
+## Décomposition parents → enfants (m=16 → m=17)
+
+Pour un parent \(r\in R_{16}^{\mathrm{comp}}\), les deux enfants au palier suivant sont \(r\) et \(r+2^{16}\).
+
+Dans cette transition, on ne distingue pas de cas « one » : l’ensemble d’entrée est déjà défini comme le résidu *après* complétion « one » au palier 2^16, et la montée de palier conserve systématiquement les deux enfants.
+
+Ainsi :
+
+- Parents « one » (1 enfant survivant) : 0
+- Parents « both » (2 enfants survivants) : \(|B_{16}|=|R_{16}^{\mathrm{comp}}|=2202\)
+
+Vérification de cohérence :
+\[
+|R_{17}^{\mathrm{comp}}| = 2\cdot|B_{16}| = 4404.
+\]
+
+## Résultat (déclaration de taille)
+
+|R_17^comp| = 2*|both| = 4404
+
+## Listes exhaustives
+
+### Parents « both » au palier 2^16 (2202 résidus modulo 65536)
+
+27, 31, 47, 63, 71, 91, 103, 111, 159, 167, 223, 239, 251, 283, 319, 327
+359, 447, 479, 495, 511, 559, 603, 639, 667, 671, 703, 743, 751, 763, 767, 795
+859, 871, 895, 927, 959, 991, 1007, 1023, 1051, 1055, 1115, 1127, 1179, 1183, 1255, 1263
+1279, 1307, 1343, 1383, 1407, 1439, 1471, 1503, 1519, 1535, 1583, 1639, 1663, 1691, 1695, 1767
+1791, 1819, 1883, 1895, 1919, 1951, 1959, 2043, 2047, 2111, 2139, 2151, 2159, 2175, 2207, 2215
+2287, 2367, 2375, 2407, 2463, 2495, 2527, 2543, 2559, 2651, 2671, 2687, 2715, 2751, 2791, 2811
+2843, 2879, 2887, 2919, 2943, 3007, 3055, 3071, 3099, 3103, 3175, 3183, 3199, 3227, 3231, 3263
+3311, 3323, 3327, 3355, 3375, 3391, 3399, 3431, 3487, 3519, 3567, 3583, 3615, 3631, 3711, 3739
+3775, 3815, 3823, 3839, 3867, 3931, 3943, 3999, 4095, 4127, 4167, 4207, 4255, 4263, 4319, 4335
+4347, 4351, 4379, 4399, 4415, 4423, 4511, 4575, 4591, 4607, 4635, 4699, 4719, 4735, 4763, 4767
+4775, 4799, 4839, 4847, 4863, 4891, 4935, 4967, 4991, 5055, 5119, 5147, 5151, 5211, 5223, 5247
+5279, 5287, 5343, 5351, 5359, 5375, 5403, 5423, 5447, 5479, 5503, 5535, 5567, 5659, 5663, 5679
+5735, 5759, 5791, 5823, 5863, 5887, 5915, 5991, 6015, 6055, 6079, 6139, 6143, 6171, 6191, 6207
+6235, 6247, 6303, 6311, 6367, 6383, 6395, 6399, 6427, 6463, 6471, 6591, 6623, 6639, 6655, 6703
+6767, 6811, 6823, 6847, 6887, 6895, 6911, 6939, 7039, 7103, 7135, 7151, 7167, 7195, 7231, 7271
+7279, 7295, 7323, 7327, 7335, 7359, 7407, 7423, 7451, 7471, 7527, 7551, 7583, 7615, 7647, 7663
+7679, 7707, 7711, 7727, 7807, 7835, 7839, 7871, 7935, 7963, 8027, 8039, 8095, 8127, 8175, 8191
+8219, 8223, 8239, 8255, 8283, 8295, 8303, 8319, 8351, 8359, 8415, 8443, 8475, 8511, 8519, 8551
+8607, 8639, 8671, 8687, 8703, 8751, 8831, 8859, 8895, 8935, 8943, 8955, 8959, 8987, 9023, 9031
+9063, 9119, 9151, 9183, 9199, 9215, 9243, 9247, 9287, 9319, 9343, 9455, 9467, 9471, 9499, 9535
+9543, 9575, 9599, 9631, 9663, 9695, 9727, 9775, 9831, 9855, 9883, 9887, 9967, 9983, 10011, 10087
+10111, 10143, 10235, 10239, 10303, 10311, 10331, 10343, 10351, 10367, 10399, 10407, 10479, 10491, 10495, 10559
+10567, 10599, 10687, 10719, 10751, 10843, 10879, 10907, 10911, 10919, 10943, 10983, 10991, 11003, 11007, 11035
+11071, 11111, 11135, 11175, 11199, 11247, 11263, 11291, 11295, 11355, 11367, 11391, 11419, 11423, 11431, 11495
+11503, 11515, 11519, 11547, 11583, 11591, 11623, 11711, 11759, 11775, 11803, 11823, 11903, 11931, 11935, 12007
+12015, 12031, 12059, 12123, 12135, 12191, 12199, 12223, 12287, 12315, 12335, 12359, 12379, 12399, 12447, 12455
+12479, 12527, 12539, 12591, 12607, 12615, 12703, 12735, 12767, 12783, 12799, 12847, 12891, 12911, 12927, 12955
+12959, 12991, 13031, 13039, 13055, 13127, 13159, 13183, 13247, 13279, 13311, 13339, 13343, 13403, 13415, 13423
+13439, 13471, 13479, 13503, 13535, 13543, 13551, 13595, 13615, 13639, 13671, 13727, 13759, 13791, 13823, 13855
+13871, 13951, 13983, 14015, 14055, 14079, 14107, 14183, 14247, 14335, 14363, 14367, 14383, 14427, 14447, 14463
+14495, 14503, 14559, 14575, 14587, 14591, 14619, 14655, 14663, 14695, 14783, 14815, 14831, 14847, 14951, 14959
+14975, 15003, 15015, 15039, 15079, 15087, 15099, 15103, 15131, 15167, 15207, 15231, 15327, 15355, 15359, 15387
+15391, 15423, 15463, 15471, 15487, 15519, 15527, 15551, 15599, 15611, 15615, 15643, 15663, 15679, 15719, 15743
+15775, 15807, 15871, 15899, 15903, 15975, 15999, 16031, 16063, 16111, 16127, 16155, 16231, 16255, 16319, 16367
+16379, 16383, 16411, 16415, 16431, 16447, 16455, 16475, 16487, 16495, 16511, 16543, 16551, 16607, 16623, 16635
+16667, 16703, 16711, 16831, 16879, 16895, 16943, 16987, 17023, 17051, 17055, 17087, 17127, 17135, 17151, 17179
+17215, 17243, 17255, 17279, 17311, 17343, 17375, 17391, 17407, 17435, 17439, 17479, 17499, 17511, 17535, 17563
+17567, 17639, 17647, 17659, 17663, 17691, 17791, 17823, 17855, 17887, 17903, 17919, 17967, 18023, 18047, 18075
+18079, 18151, 18159, 18175, 18203, 18267, 18279, 18303, 18335, 18343, 18427, 18431, 18495, 18503, 18523, 18535
+18543, 18559, 18591, 18599, 18671, 18683, 18759, 18791, 18847, 18879, 18911, 18927, 18943, 19055, 19071, 19099
+19103, 19135, 19175, 19183, 19195, 19227, 19263, 19271, 19303, 19327, 19367, 19391, 19439, 19455, 19483, 19487
+19547, 19559, 19567, 19583, 19611, 19615, 19647, 19687, 19695, 19707, 19711, 19739, 19759, 19775, 19783, 19815
+19871, 19903, 19951, 19967, 19999, 20015, 20095, 20123, 20127, 20159, 20207, 20223, 20251, 20315, 20327, 20383
+20391, 20479, 20511, 20551, 20571, 20591, 20639, 20647, 20671, 20703, 20719, 20731, 20735, 20763, 20799, 20807
+20895, 20959, 20975, 20991, 21019, 21083, 21119, 21147, 21151, 21159, 21183, 21231, 21247, 21275, 21319, 21351
+21375, 21439, 21503, 21531, 21535, 21595, 21607, 21615, 21631, 21663, 21671, 21695, 21735, 21743, 21759, 21787
+21831, 21863, 21887, 21919, 21951, 22015, 22043, 22063, 22119, 22143, 22175, 22247, 22271, 22299, 22375, 22399
+22439, 22463, 22523, 22527, 22555, 22559, 22575, 22591, 22619, 22631, 22639, 22687, 22695, 22767, 22779, 22783
+22847, 22855, 22975, 23007, 23023, 23039, 23087, 23143, 23151, 23195, 23207, 23271, 23279, 23295, 23323, 23423
+23487, 23519, 23535, 23547, 23551, 23579, 23583, 23655, 23663, 23679, 23707, 23711, 23719, 23743, 23791, 23807
+23855, 23911, 23967, 23999, 24031, 24047, 24063, 24091, 24095, 24111, 24167, 24191, 24219, 24223, 24255, 24319
+24347, 24411, 24423, 24447, 24479, 24511, 24571, 24575, 24603, 24607, 24623, 24667, 24687, 24703, 24735, 24743
+24799, 24827, 24859, 24895, 24903, 24935, 24991, 25023, 25055, 25071, 25087, 25135, 25215, 25243, 25279, 25319
+25327, 25339, 25343, 25371, 25407, 25415, 25435, 25447, 25471, 25535, 25567, 25599, 25627, 25631, 25671, 25727
+25755, 25839, 25851, 25855, 25883, 25919, 25927, 25959, 25983, 26015, 26047, 26079, 26095, 26111, 26159, 26215
+26239, 26271, 26351, 26367, 26395, 26459, 26471, 26495, 26619, 26623, 26687, 26695, 26715, 26727, 26735, 26751
+26783, 26791, 26863, 26875, 26879, 26943, 26951, 26983, 27039, 27071, 27103, 27119, 27135, 27227, 27263, 27295
+27303, 27327, 27367, 27375, 27387, 27391, 27419, 27455, 27463, 27495, 27519, 27559, 27583, 27631, 27647, 27675
+27679, 27739, 27751, 27775, 27803, 27807, 27815, 27879, 27887, 27899, 27903, 27931, 27967, 28007, 28063, 28095
+28143, 28159, 28187, 28207, 28287, 28315, 28319, 28391, 28399, 28415, 28443, 28507, 28519, 28575, 28583, 28607
+28671, 28699, 28719, 28743, 28763, 28783, 28831, 28839, 28863, 28911, 28923, 28927, 28975, 28991, 29087, 29119
+29151, 29167, 29183, 29211, 29231, 29275, 29295, 29311, 29339, 29343, 29351, 29375, 29415, 29423, 29439, 29511
+29543, 29567, 29631, 29663, 29695, 29723, 29727, 29787, 29799, 29807, 29823, 29855, 29887, 29919, 29927, 29935
+29951, 29979, 29999, 30023, 30055, 30111, 30143, 30175, 30207, 30235, 30239, 30255, 30335, 30367, 30399, 30439
+30463, 30491, 30567, 30631, 30655, 30719, 30751, 30811, 30831, 30847, 30879, 30943, 30959, 30971, 30975, 31003
+31039, 31047, 31079, 31167, 31199, 31215, 31231, 31279, 31335, 31343, 31359, 31387, 31399, 31423, 31463, 31471
+31483, 31487, 31515, 31551, 31591, 31615, 31679, 31739, 31743, 31775, 31807, 31847, 31855, 31871, 31903, 31911
+31935, 31983, 31995, 31999, 32027, 32047, 32063, 32103, 32127, 32159, 32191, 32223, 32255, 32283, 32287, 32303
+32359, 32383, 32415, 32447, 32495, 32511, 32539, 32615, 32639, 32703, 32751, 32763, 32767, 32795, 32799, 32815
+32831, 32839, 32859, 32871, 32879, 32927, 32935, 32991, 33007, 33019, 33051, 33087, 33095, 33127, 33215, 33247
+33263, 33279, 33327, 33371, 33407, 33435, 33439, 33471, 33511, 33519, 33531, 33535, 33563, 33627, 33639, 33663
+33695, 33727, 33759, 33775, 33791, 33819, 33823, 33883, 33895, 33947, 33951, 34023, 34031, 34047, 34075, 34111
+34151, 34175, 34207, 34239, 34271, 34287, 34303, 34351, 34407, 34431, 34459, 34463, 34535, 34559, 34587, 34651
+34663, 34687, 34719, 34727, 34811, 34815, 34879, 34907, 34919, 34927, 34943, 34975, 34983, 35055, 35135, 35143
+35175, 35231, 35263, 35295, 35311, 35327, 35419, 35439, 35455, 35483, 35519, 35559, 35579, 35611, 35647, 35655
+35687, 35711, 35775, 35823, 35839, 35867, 35871, 35943, 35951, 35967, 35995, 35999, 36031, 36079, 36091, 36095
+36123, 36143, 36159, 36167, 36199, 36255, 36287, 36335, 36351, 36383, 36399, 36479, 36507, 36543, 36583, 36591
+36607, 36635, 36699, 36711, 36767, 36863, 36895, 36935, 36975, 37023, 37031, 37087, 37103, 37115, 37119, 37147
+37167, 37183, 37191, 37279, 37343, 37359, 37375, 37403, 37467, 37487, 37503, 37531, 37535, 37543, 37567, 37607
+37615, 37631, 37659, 37703, 37735, 37759, 37823, 37887, 37915, 37919, 37979, 37991, 38015, 38047, 38055, 38111
+38119, 38127, 38143, 38171, 38191, 38215, 38247, 38271, 38303, 38335, 38427, 38431, 38447, 38503, 38527, 38559
+38591, 38631, 38655, 38683, 38759, 38783, 38823, 38847, 38907, 38911, 38939, 38959, 38975, 39003, 39015, 39071
+39079, 39135, 39151, 39163, 39167, 39195, 39231, 39239, 39359, 39391, 39407, 39423, 39471, 39535, 39579, 39591
+39615, 39655, 39663, 39679, 39707, 39807, 39871, 39903, 39919, 39935, 39963, 39999, 40039, 40047, 40063, 40091
+40095, 40103, 40127, 40175, 40191, 40219, 40239, 40295, 40319, 40351, 40383, 40415, 40431, 40447, 40475, 40479
+40495, 40575, 40603, 40607, 40639, 40703, 40731, 40795, 40807, 40863, 40895, 40943, 40959, 40987, 40991, 41007
+41023, 41051, 41063, 41071, 41087, 41119, 41127, 41183, 41211, 41243, 41279, 41287, 41319, 41375, 41407, 41439
+41455, 41471, 41519, 41599, 41627, 41663, 41703, 41711, 41723, 41727, 41755, 41791, 41799, 41831, 41887, 41919
+41951, 41967, 41983, 42011, 42015, 42055, 42087, 42111, 42223, 42235, 42239, 42267, 42303, 42311, 42343, 42367
+42399, 42431, 42463, 42495, 42543, 42599, 42623, 42651, 42655, 42735, 42751, 42779, 42855, 42879, 42911, 43003
+43007, 43071, 43079, 43099, 43111, 43119, 43135, 43167, 43175, 43247, 43259, 43263, 43327, 43335, 43367, 43455
+43487, 43519, 43611, 43647, 43675, 43679, 43687, 43711, 43751, 43759, 43771, 43775, 43803, 43839, 43879, 43903
+43943, 43967, 44015, 44031, 44059, 44063, 44123, 44135, 44159, 44187, 44191, 44199, 44263, 44271, 44283, 44287
+44315, 44351, 44359, 44391, 44479, 44527, 44543, 44571, 44591, 44671, 44699, 44703, 44775, 44783, 44799, 44827
+44891, 44903, 44959, 44967, 44991, 45055, 45083, 45103, 45127, 45147, 45167, 45215, 45223, 45247, 45295, 45307
+45359, 45375, 45383, 45471, 45503, 45535, 45551, 45567, 45615, 45659, 45679, 45695, 45723, 45727, 45759, 45799
+45807, 45823, 45895, 45927, 45951, 46015, 46047, 46079, 46107, 46111, 46171, 46183, 46191, 46207, 46239, 46247
+46271, 46303, 46311, 46319, 46363, 46383, 46407, 46439, 46495, 46527, 46559, 46591, 46623, 46639, 46719, 46751
+46783, 46823, 46847, 46875, 46951, 47015, 47103, 47131, 47135, 47151, 47195, 47215, 47231, 47263, 47271, 47327
+47343, 47355, 47359, 47387, 47423, 47431, 47463, 47551, 47583, 47599, 47615, 47719, 47727, 47743, 47771, 47783
+47807, 47847, 47855, 47867, 47871, 47899, 47935, 47975, 47999, 48095, 48123, 48127, 48155, 48159, 48191, 48231
+48239, 48255, 48287, 48295, 48319, 48367, 48379, 48383, 48411, 48431, 48447, 48487, 48511, 48543, 48575, 48639
+48667, 48671, 48743, 48767, 48799, 48831, 48879, 48895, 48923, 48999, 49023, 49087, 49135, 49147, 49151, 49179
+49183, 49199, 49215, 49223, 49243, 49255, 49263, 49279, 49311, 49319, 49375, 49391, 49403, 49435, 49471, 49479
+49599, 49647, 49663, 49711, 49755, 49791, 49819, 49823, 49855, 49895, 49903, 49919, 49947, 49983, 50011, 50023
+50047, 50079, 50111, 50143, 50159, 50175, 50203, 50207, 50247, 50267, 50279, 50303, 50331, 50335, 50407, 50415
+50427, 50431, 50459, 50559, 50591, 50623, 50655, 50671, 50687, 50735, 50791, 50815, 50843, 50847, 50919, 50927
+50943, 50971, 51035, 51047, 51071, 51103, 51111, 51195, 51199, 51263, 51271, 51291, 51303, 51311, 51327, 51359
+51367, 51439, 51451, 51527, 51559, 51615, 51647, 51679, 51695, 51711, 51823, 51839, 51867, 51871, 51903, 51943
+51951, 51963, 51995, 52031, 52039, 52071, 52095, 52135, 52159, 52207, 52223, 52251, 52255, 52315, 52327, 52335
+52351, 52379, 52383, 52415, 52455, 52463, 52475, 52479, 52507, 52527, 52543, 52551, 52583, 52639, 52671, 52719
+52735, 52767, 52783, 52863, 52891, 52895, 52927, 52975, 52991, 53019, 53083, 53095, 53151, 53159, 53247, 53279
+53319, 53339, 53359, 53407, 53415, 53439, 53471, 53487, 53499, 53503, 53531, 53567, 53575, 53663, 53727, 53743
+53759, 53787, 53851, 53887, 53915, 53919, 53927, 53951, 53999, 54015, 54043, 54087, 54119, 54143, 54207, 54271
+54299, 54303, 54363, 54375, 54383, 54399, 54431, 54439, 54463, 54503, 54511, 54527, 54555, 54599, 54631, 54655
+54687, 54719, 54783, 54811, 54831, 54887, 54911, 54943, 55015, 55039, 55067, 55143, 55167, 55207, 55231, 55291
+55295, 55323, 55327, 55343, 55359, 55387, 55399, 55407, 55455, 55463, 55535, 55547, 55551, 55615, 55623, 55743
+55775, 55791, 55807, 55855, 55911, 55919, 55963, 55975, 56039, 56047, 56063, 56091, 56191, 56255, 56287, 56303
+56315, 56319, 56347, 56351, 56423, 56431, 56447, 56475, 56479, 56487, 56511, 56559, 56575, 56623, 56679, 56735
+56767, 56799, 56815, 56831, 56859, 56863, 56879, 56935, 56959, 56987, 56991, 57023, 57087, 57115, 57179, 57191
+57215, 57247, 57279, 57339, 57343, 57371, 57375, 57391, 57435, 57455, 57471, 57503, 57511, 57567, 57595, 57627
+57663, 57671, 57703, 57759, 57791, 57823, 57839, 57855, 57903, 57983, 58011, 58047, 58087, 58095, 58107, 58111
+58139, 58175, 58183, 58203, 58215, 58239, 58303, 58335, 58367, 58395, 58399, 58439, 58495, 58523, 58607, 58619
+58623, 58651, 58687, 58695, 58727, 58751, 58783, 58815, 58847, 58863, 58879, 58927, 58983, 59007, 59039, 59119
+59135, 59163, 59227, 59239, 59263, 59387, 59391, 59455, 59463, 59483, 59495, 59503, 59519, 59551, 59559, 59631
+59643, 59647, 59711, 59719, 59751, 59807, 59839, 59871, 59887, 59903, 59995, 60031, 60063, 60071, 60095, 60135
+60143, 60155, 60159, 60187, 60223, 60231, 60263, 60287, 60327, 60351, 60399, 60415, 60443, 60447, 60507, 60519
+60543, 60571, 60575, 60583, 60647, 60655, 60667, 60671, 60699, 60735, 60775, 60831, 60863, 60911, 60927, 60955
+60975, 61055, 61083, 61087, 61159, 61167, 61183, 61211, 61275, 61287, 61343, 61351, 61375, 61439, 61467, 61487
+61511, 61531, 61551, 61599, 61607, 61631, 61679, 61691, 61695, 61743, 61759, 61855, 61887, 61919, 61935, 61951
+61979, 61999, 62043, 62063, 62079, 62107, 62111, 62119, 62143, 62183, 62191, 62207, 62279, 62311, 62335, 62399
+62431, 62463, 62491, 62495, 62555, 62567, 62575, 62591, 62623, 62655, 62687, 62695, 62703, 62719, 62747, 62767
+62791, 62823, 62879, 62911, 62943, 62975, 63003, 63007, 63023, 63103, 63135, 63167, 63207, 63231, 63259, 63335
+63399, 63423, 63487, 63519, 63579, 63599, 63615, 63647, 63711, 63727, 63739, 63743, 63771, 63807, 63815, 63847
+63935, 63967, 63983, 63999, 64047, 64103, 64111, 64127, 64155, 64167, 64191, 64231, 64239, 64251, 64255, 64283
+64319, 64359, 64383, 64447, 64507, 64511, 64543, 64575, 64615, 64623, 64639, 64671, 64679, 64703, 64751, 64763
+64767, 64795, 64815, 64831, 64871, 64895, 64927, 64959, 64991, 65023, 65051, 65055, 65071, 65127, 65151, 65183
+65215, 65263, 65279, 65307, 65383, 65407, 65471, 65519, 65531, 65535

docs/artefacts/collatz/c2_projective/verification_c2_projective.json

@@ -3,7 +3,8 @@
     "noyau_both_base_4096_md": "applications/collatz/collatz_k_scripts/noyau_both_base_4096.md",
     "completion_docs": [
       "applications/collatz/collatz_k_scripts/complétion_minorée_m14_vers_m15.md",
-      "applications/collatz/collatz_k_scripts/complétion_minorée_m15_vers_m16.md"
+      "applications/collatz/collatz_k_scripts/complétion_minorée_m15_vers_m16.md",
+      "applications/collatz/collatz_k_scripts/complétion_minorée_m16_vers_m17.md"
     ]
   },
   "B12": {
@@ -31,6 +32,16 @@
       "listed_residual_count": 2202,
       "children_equals_listed_residual": null,
       "projection_mod_4096_equals_b12": true
+    },
+    {
+      "source": "applications/collatz/collatz_k_scripts/complétion_minorée_m16_vers_m17.md",
+      "palier_parent": 16,
+      "palier_child": 17,
+      "both_parent_count": 2202,
+      "computed_children_count": 4404,
+      "listed_residual_count": 4404,
+      "children_equals_listed_residual": null,
+      "projection_mod_4096_equals_b12": true
     }
   ],
   "checks": {

docs/artefacts/collatz/c2_projective/verification_c2_projective.md

@@ -7,6 +7,7 @@
 - `noyau_both_base_4096.md` : `applications/collatz/collatz_k_scripts/noyau_both_base_4096.md`
 - completion : `applications/collatz/collatz_k_scripts/complétion_minorée_m14_vers_m15.md`
 - completion : `applications/collatz/collatz_k_scripts/complétion_minorée_m15_vers_m16.md`
+- completion : `applications/collatz/collatz_k_scripts/complétion_minorée_m16_vers_m17.md`
 
 ## Base projective B12
 
@@ -19,6 +20,7 @@
 | --- | --- | --- | --- | --- | --- | --- | --- |
 | applications/collatz/collatz_k_scripts/complétion_minorée_m14_vers_m15.md | 14 | 15 | 593 | 1186 | 1186 | True | True |
 | applications/collatz/collatz_k_scripts/complétion_minorée_m15_vers_m16.md | 15 | 16 | 1101 | 2202 | 2202 |  | True |
+| applications/collatz/collatz_k_scripts/complétion_minorée_m16_vers_m17.md | 16 | 17 | 2202 | 4404 | 4404 |  | True |
 
 ## Sorties
 

docs/collatz_run_report_2026-03-09_c2_projective.md

@@ -9,7 +9,7 @@
 
 ## Code et reproductibilité
 
-- **Commit Git** : `071da20b190207aebcbbbaad8e57b9e21b8282c6`
+- **Commit Git** : `ace28bbecf9c9c768ed124ffe1dcd36aada5425a`
 - **Commande** :
 
 ```bash
@@ -26,10 +26,12 @@ python3 applications/collatz/collatz_k_scripts/collatz_generate_run_report.py --
   - sha256: `acc8667be8e93a33fadf45bacd5cd788ec05089d844616cf1762330ac0d41d67`
 - `/home/ncantu/code/algo/applications/collatz/collatz_k_scripts/complétion_minorée_m15_vers_m16.md`
   - sha256: `956f8fd19570b7614705384995b52b6bf81399ca8dc36c3ea33bcbad3e4aff50`
+- `/home/ncantu/code/algo/applications/collatz/collatz_k_scripts/complétion_minorée_m16_vers_m17.md`
+  - sha256: `b344d0af34508ca7bf59486f2b7b52c84a2dda46063155ed1f32e6652b22b7ca`
 - `/home/ncantu/code/algo/docs/artefacts/collatz/c2_projective/verification_c2_projective.json`
-  - sha256: `3f5ee61f259c90138d7c9fd3e8a2331947a2e25988bea349f246ad90fb1e43ec`
+  - sha256: `90f9f5f7481f438e73e05badf13dd22065f845b3d1efb7d43f4d0aa576fccd3c`
 - `/home/ncantu/code/algo/docs/artefacts/collatz/c2_projective/verification_c2_projective.md`
-  - sha256: `f4f5e00365ec6cc2253f2ef80ca51414d4ad79dc51bc0a408ff1bb352eba39f5`
+  - sha256: `c8b35eb6d9b7231d791a87b56f3343f0a4c5027f2d57ae13276ef3341819834d`
 
 ## Compteurs et métriques