Independent research · Austin
Download the published polynomials, archived cell names and board data. The field table was built on 18 August 2026. For construction targets from the 20 August board snapshot, use the open-cell worklist.
The hard core a class-field step cannot reach is 419 pairs over six simple cores, counted in complement.json.
Download
| File | What it is |
|---|---|
| fields.jsonl.gz | 124,693 published rows over 20,882 groups, covering 78,703 cells. Every group name is Chebotarev evidence, none is exact. 124,242 rows are in canonical polredabs form. |
| MANIFEST.json | SHA-256 of each published file. Reproducible across builds from the same source. |
| summary.json | The counts the pages are written against. |
| by-group/index.json | One best-certified witness per cell, a hundred groups per file. |
| cells.txt | A name list from an earlier pull. Not the leftover. Empty cells are on the organizer's board. |
| never_named_groups.txt | 1,047 groups that never appear on that name list. |
| complement.json | Board-picture counts, including the 419-pair hard core. |
| board.svg | 25,000 groups, darker where more of the 13 signatures are named. |
Fingerprints
MANIFEST.json carries the SHA-256 of the
published table, its shard index, and the summary, and is reproducible from the same
source. cells.txt sits outside that manifest because it is a name list
rather than a table; its SHA-256 is
1e341f2036327df442c77ce1dbafd17b08d307acd46ef989a0fc0c26658f2e0f.
Recheck a row from its coefficients at the checker. Look up one cell without downloading the table:
On the discriminant axis, 31,664 rows are unconditional, 92,672 are conditional on a recorded cofactor being squarefree, and 357 say the factorization did not finish. Those 357 are published rather than dropped.
One pixel per group, 24T1 at the top left. Darker means more of the 13 possible real-root counts are named; the 1,047 palest cells are groups with no name at all.