# 490d C277–C310 reading index

24 September 2026. **Latest completed: C310. C311 is unexecuted.** C277–C310 comprises34 steps; the requested endpointC310 controls the earlier33-step count. Each step was completed, reassessed and published before its selected successor.

## Read first

1. C310 synthesis and checkpoint for the current conclusions and bounded next question.
2. C287 for the core529 normal form; C294–C295 for exact-reflection limits.
3. C302 and C310 for complete600 segments and their minimal context cover.
4. C304, C307 and C308 for path provenance, equation dependence and anchor specificity.

The complete continuation archive contains45 reports/checkpoints/evidence packages, C266–C310. Eleven were already completed predecessors;34 belong to this batch. The compact kit includes14 selected evidence packages, immediate source files and a locator for all310 C reports. C01–C265 remain in their existing reference archive. Retrieve them selectively.

Links below open current files. Portable archive-member paths, byte counts and SHA256 hashes are recorded in 490d_C01_C310_Report_Locator_20260924.json.

## Completed batch

| Step | Bounded result | Files |
|---|---|---|
| C277 | Six cumulative598 alignments; four have both regular counterparts. | [Report](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C277_598_Alignment_Coverage_20260924.md) · [Checkpoint](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_Mirror_Checkpoint_After_C277_20260924.md) · [Evidence](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C277_Evidence_20260924.zip) |
| C278 | 598/600/602 have4/6/4 regular pairs; the source action is partial. | [Report](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C278_Finite_598_600_602_Correspondence_20260924.md) · [Checkpoint](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_Mirror_Checkpoint_After_C278_20260924.md) · [Evidence](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C278_Evidence_20260924.zip) |
| C279 | Six qualified598+8395=17K triangles retain same-phase identity. | [Report](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C279_598_Triangle_8395_17K_20260924.md) · [Checkpoint](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_Mirror_Checkpoint_After_C279_20260924.md) · [Evidence](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C279_Evidence_20260924.zip) |
| C280 | The460 change transports all six triangles through distinct source operations. | [Report](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C280_LXX_ON_MT_Restored_Triangle_20260924.md) · [Checkpoint](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_Mirror_Checkpoint_After_C280_20260924.md) · [Evidence](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C280_Evidence_20260924.zip) |
| C281 | MT admits three Noah births; companion-dependent coverage remains unavailable. | [Report](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C281_MT_Noah_Coverage_Boundary_20260924.md) · [Checkpoint](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_Mirror_Checkpoint_After_C281_20260924.md) · [Evidence](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C281_Evidence_20260924.zip) |
| C282 | The mixed-state route splits17K into2K+15K. | [Report](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C282_Source_Qualified_2K_15K_17K_20260924.md) · [Checkpoint](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_Mirror_Checkpoint_After_C282_20260924.md) · [Evidence](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C282_Evidence_20260924.zip) |
| C283 | One of eight held state patterns has both legs in529 multiples. | [Report](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C283_Retained_State_Cube_K_Splits_20260924.md) · [Checkpoint](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_Mirror_Checkpoint_After_C283_20260924.md) · [Evidence](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C283_Evidence_20260924.zip) |
| C284 | All3072 selector/state combinations isolate six both-K rows. | [Report](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C284_Independent_Selector_K_Completeness_20260924.md) · [Checkpoint](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_Mirror_Checkpoint_After_C284_20260924.md) · [Evidence](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C284_Evidence_20260924.zip) |
| C285 | The144-target Flood-context census preserves only six all-K hits. | [Report](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C285_Flood_Context_K_Completeness_20260924.md) · [Checkpoint](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_Mirror_Checkpoint_After_C285_20260924.md) · [Evidence](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C285_Evidence_20260924.zip) |
| C286 | The528-target biography register yields12 labels/10 coordinate all-K paths. | [Report](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C286_Scoped_Event_K_Path_Classification_20260924.md) · [Checkpoint](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_Mirror_Checkpoint_After_C286_20260924.md) · [Evidence](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C286_Evidence_20260924.zip) |
| C287 | Four complete coordinate rows realize the(−12,−10,5,7)K+i normal form. | [Report](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C287_Four_Node_529_Normal_Form_20260924.md) · [Checkpoint](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_Mirror_Checkpoint_After_C287_20260924.md) · [Evidence](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C287_Evidence_20260924.zip) |
| C288 | Finite path closure supports the observed routes; abstract gcd does not create aK edge. | [Report](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C288_Finite_Path_Closure_and_K_Module_20260924.md) · [Checkpoint](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_Mirror_Checkpoint_After_C288_20260924.md) · [Evidence](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C288_Evidence_20260924.zip) |
| C289 | Pure-K map constants still leave placement parameteru free. | [Report](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C289_Pure_K_Maps_and_Placement_Freedom_20260924.md) · [Checkpoint](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_Mirror_Checkpoint_After_C289_20260924.md) · [Evidence](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C289_Evidence_20260924.zip) |
| C290 | 25/23 center matches fail to preserve the physical phase-pair width. | [Report](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C290_Four_Node_Dilation_Compatibility_20260924.md) · [Checkpoint](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_Mirror_Checkpoint_After_C290_20260924.md) · [Evidence](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C290_Evidence_20260924.zip) |
| C291 | The retained16K bridge interlaces complete rows at4,5,6,7K+i. | [Report](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C291_16K_Bridge_Interlacing_20260924.md) · [Checkpoint](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_Mirror_Checkpoint_After_C291_20260924.md) · [Evidence](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C291_Evidence_20260924.zip) |
| C292 | Only13K,16K,18K,21K solve the equal-spacing classification; latter two remain diagnostic. | [Report](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C292_Equal_Spacing_Translation_Classification_20260924.md) · [Checkpoint](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_Mirror_Checkpoint_After_C292_20260924.md) · [Evidence](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C292_Evidence_20260924.zip) |
| C293 | Fixed8K reflection leaves2i residuals on the common-offset arrangement. | [Report](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C293_13K_Arrangement_Fixed_8K_Reflection_20260924.md) · [Checkpoint](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_Mirror_Checkpoint_After_C293_20260924.md) · [Evidence](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C293_Evidence_20260924.zip) |
| C294 | Full-field exact reflection gives gaps1060,1058,1060 at admitted endpoints. | [Report](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C294_Fixed_Reflection_Full_Field_Closure_20260924.md) · [Checkpoint](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_Mirror_Checkpoint_After_C294_20260924.md) · [Evidence](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C294_Evidence_20260924.zip) |
| C295 | One fixed-reflection and four all-K configurations have no joint solution. | [Report](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C295_Fixed_Reflection_K_Compatibility_20260924.md) · [Checkpoint](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_Mirror_Checkpoint_After_C295_20260924.md) · [Evidence](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C295_Evidence_20260924.zip) |
| C296 | Exact self-Mirror K-width members exist for Flood/Shem/MTFlood, but not requiredNoah3703. | [Report](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C296_Source_Members_20K_24K_Self_Mirror_20260924.md) · [Checkpoint](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_Mirror_Checkpoint_After_C296_20260924.md) · [Evidence](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C296_Evidence_20260924.zip) |
| C297 | Four MT cumulative/regular Flood matches meet the fixed2832 comparison. | [Report](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C297_6000_Cross_Bridge_MT_Comparison_20260924.md) · [Checkpoint](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_Mirror_Checkpoint_After_C297_20260924.md) · [Evidence](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C297_Evidence_20260924.zip) |
| C298 | MT/LXX cumulative aliases cover all six ordinary MT Flood points. | [Report](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C298_MT_LXX_Weave_Cross_Bridge_Coverage_20260924.md) · [Checkpoint](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_Mirror_Checkpoint_After_C298_20260924.md) · [Evidence](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C298_Evidence_20260924.zip) |
| C299 | Four labels/three coordinate600 lifts join cumulative Shem/Flood to MT Noah/Flood. | [Report](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C299_600_Year_Lift_Noah_and_Cumulative_Shem_20260924.md) · [Checkpoint](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_Mirror_Checkpoint_After_C299_20260924.md) · [Evidence](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C299_Evidence_20260924.zip) |
| C300 | MT biography-role coverage remains partial; no cumulativeNoah-field match. | [Report](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C300_Cross_Bridge_Biography_Role_Census_20260924.md) · [Checkpoint](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_Mirror_Checkpoint_After_C300_20260924.md) · [Evidence](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C300_Evidence_20260924.zip) |
| C301 | The full72×528 census gives28 labels/18 coordinate points. | [Report](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C301_Cross_Bridge_Full_Context_Census_20260924.md) · [Checkpoint](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_Mirror_Checkpoint_After_C301_20260924.md) · [Evidence](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C301_Evidence_20260924.zip) |
| C302 | Twelve labels/eight coordinate600 segments; LXX annual index1 remains open. | [Report](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C302_Complete_600_Segments_and_Annual_Coverage_20260924.md) · [Checkpoint](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_Mirror_Checkpoint_After_C302_20260924.md) · [Evidence](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C302_Evidence_20260924.zip) |
| C303 | Four8395 and two17K overlaps join the fixed2832 Flood family. | [Report](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C303_Cross_Bridge_8395_17K_Intersection_20260924.md) · [Checkpoint](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_Mirror_Checkpoint_After_C303_20260924.md) · [Evidence](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C303_Evidence_20260924.zip) |
| C304 | Both overlaps are stored N01/N02; onlyN02 has the299+299+650 expansion. | [Report](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C304_N01_N02_Stored_Path_Provenance_20260924.md) · [Checkpoint](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_Mirror_Checkpoint_After_C304_20260924.md) · [Evidence](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C304_Evidence_20260924.zip) |
| C305 | Joint source selectors give599/601; exact600 requires annual index2.5. | [Report](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C305_Joint_600_Year_Parity_Boundary_20260924.md) · [Checkpoint](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_Mirror_Checkpoint_After_C305_20260924.md) · [Evidence](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C305_Evidence_20260924.zip) |
| C306 | Every admitted600 alternative changes one interface by±1; phase choices do not repair both. | [Report](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C306_Selector_Alternatives_and_Exact_Phases_20260924.md) · [Checkpoint](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_Mirror_Checkpoint_After_C306_20260924.md) · [Evidence](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C306_Evidence_20260924.zip) |
| C307 | The five-center interface has rank4;598 is dependent and600 forces half-integer centers. | [Report](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C307_Typed_Affine_Model_and_Dependency_Rank_20260924.md) · [Checkpoint](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_Mirror_Checkpoint_After_C307_20260924.md) · [Evidence](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C307_Evidence_20260924.zip) |
| C308 | Supplied Exodus anchor covers eight annual points but no complete600 segment. | [Report](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C308_Two_Anchor_Point_and_Segment_Specificity_20260924.md) · [Checkpoint](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_Mirror_Checkpoint_After_C308_20260924.md) · [Evidence](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C308_Evidence_20260924.zip) |
| C309 | Six core duration equations have rank3; aliases and consequences are separated. | [Report](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C309_Independent_Constraints_and_Claim_Boundaries_20260924.md) · [Checkpoint](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_Mirror_Checkpoint_After_C309_20260924.md) · [Evidence](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C309_Evidence_20260924.zip) |
| C310 | The seven-index cover uniquely needs MTbaseline plusSPalternate contexts and a role change. | [Report](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C310_Minimal_Context_Cover_and_Final_529_Synthesis_20260924.md) · [Checkpoint](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_Mirror_Checkpoint_After_C310_20260924.md) · [Evidence](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C310_Evidence_20260924.zip) |

## Decisions after each step

Each evidence package includes NEXT_STEP_DECISION.json with the chosen successor and its reason. The combined decision ledger is provenance/NEXT_STEP_DECISIONS_C277_C310.json. The sequence was adaptive: source coverage led to finite classification, then to phase/reflection boundaries, cross-bridge comparisons and the final context-cover question.

## Predecessor continuation, already completed before this batch

| Step | Report |
|---|---|
| C266 | [490d_C266_529_Axis_Endpoint_Ledger_20260924.md](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C266_529_Axis_Endpoint_Ledger_20260924.md) |
| C267 | [490d_C267_529_Midpoint_and_Seasonal_Bracket_20260924.md](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C267_529_Midpoint_and_Seasonal_Bracket_20260924.md) |
| C268 | [490d_C268_LXX_Bracket_and_13K_Chain_20260924.md](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C268_LXX_Bracket_and_13K_Chain_20260924.md) |
| C269 | [490d_C269_LXX_Closing_Sources_and_17K_Paths_20260924.md](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C269_LXX_Closing_Sources_and_17K_Paths_20260924.md) |
| C270 | [490d_C270_SP_Seasonal_Counterpart_of_LXX_Bracket_20260924.md](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C270_SP_Seasonal_Counterpart_of_LXX_Bracket_20260924.md) |
| C271 | [490d_C271_SP_Three_Gear_Radius_Register_20260924.md](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C271_SP_Three_Gear_Radius_Register_20260924.md) |
| C272 | [490d_C272_Fixed_Charts_and_Outer_Radius_Selection_20260924.md](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C272_Fixed_Charts_and_Outer_Radius_Selection_20260924.md) |
| C273 | [490d_C273_529_Dependency_Synthesis_C266_C272_20260924.md](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C273_529_Dependency_Synthesis_C266_C272_20260924.md) |
| C274 | [490d_C274_529_Placement_Premise_Omission_Audit_20260924.md](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C274_529_Placement_Premise_Omission_Audit_20260924.md) |
| C275 | [490d_C275_529_Placement_Premise_Provenance_20260924.md](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C275_529_Placement_Premise_Provenance_20260924.md) |
| C276 | [490d_C276_598_Source_Relation_and_Translation_Increment_20260924.md](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C276_598_Source_Relation_and_Translation_Increment_20260924.md) |

## Verification and limits

All 34 new certificate links,34 report/checkpoint/evidence triplets and681 manifested payloads pass final integrity verification. Their recorded computations comprise741 mathematical/domain checks and273 input-authentication checks, with deterministic replay at every step. These totals count recorded assertions, not independent historical witnesses. No historical campaign was rerun for packaging.

File_18, File_09, C265 and C127 retain their hashes; C127 remains208 nodes/382 duration edges. The intact September17 original matches its expected159,771,259 bytes and SHA256. The archived incomplete-copy warning is superseded for this supplied copy.

Original unprefixed Reports01–10 remain distinct from the C-series. Interrupted original Reports11–25 remain unestablished. The formerAD1905–1911 task was superseded and remains unexecuted; redirectedC266 was completed.

The corrected supplemental LXX8464 comparison is preserved:1564→1700 and2484→2700;960−40=920→1000; offsets1380/880. The AD3746/2300 claim is superseded. It did not redirect the current research.

## Best next bounded step — C311, unexecuted

Audit only File_18, File_09 and the existing axis-source statements for a pre-existing rule selecting the MTNoah/Flood→SP Shem-life context switch found byC310. Hold endpoints, bridges, anchors and Gear limits fixed. Produce a short premise-and-citation ledger. A missing rule leaves the result classified as a composite comparison cover.