Affine Earth Math Court Remote

verify_topological_word

QC-019 Topological word: certify that the presented Eisenstein pair (q, r) is the sealed pair for a cited word. word is one of the two cited words Z2_a2b or Z2_abAB (the sealed corpus; not a group scan), q and r are the claimed integers. WIN when (q, r) equals the sealed pair, MISS naming it. Floats refused.

Input Schema

TableJSON Schema

Name	Required	Description
`q`	No	claimed Eisenstein q, decimal
`r`	No	claimed Eisenstein r, decimal
`word`	No	the cited word

Schema Changelog

Changes observed during successful MCP inspections.

Changed4 schema fields changedSep 7, 2026
- addedInput schema / properties / q / description
```
Added value: +"claimed Eisenstein q, decimal"
```
- addedInput schema / properties / r / description
```
Added value: +"claimed Eisenstein r, decimal"
```
- addedInput schema / properties / word / description
```
Added value: +"the cited word"
```
- addedInput schema / properties / word / enum
```
Added value: +[
+  "Z2_a2b",
+  "Z2_abAB"
+]
```
Changed4 schema fields changedSep 7, 2026
- removedInput schema / properties / q / description
```
Removed value: -"claimed Eisenstein q, decimal"
```
- removedInput schema / properties / r / description
```
Removed value: -"claimed Eisenstein r, decimal"
```
- removedInput schema / properties / word / description
```
Removed value: -"the cited word"
```
- removedInput schema / properties / word / enum
```
Removed value: -[
-  "Z2_a2b",
-  "Z2_abAB"
-]
```
Changed4 schema fields changedSep 7, 2026
- addedInput schema / properties / q / description
```
Added value: +"claimed Eisenstein q, decimal"
```
- addedInput schema / properties / r / description
```
Added value: +"claimed Eisenstein r, decimal"
```
- addedInput schema / properties / word / description
```
Added value: +"the cited word"
```
- addedInput schema / properties / word / enum
```
Added value: +[
+  "Z2_a2b",
+  "Z2_abAB"
+]
```
Changed4 schema fields changedSep 7, 2026
- removedInput schema / properties / q / description
```
Removed value: -"claimed Eisenstein q, decimal"
```
- removedInput schema / properties / r / description
```
Removed value: -"claimed Eisenstein r, decimal"
```
- removedInput schema / properties / word / description
```
Removed value: -"the cited word"
```
- removedInput schema / properties / word / enum
```
Removed value: -[
-  "Z2_a2b",
-  "Z2_abAB"
-]
```
Changed4 schema fields changedSep 6, 2026
- addedInput schema / properties / q / description
```
Added value: +"claimed Eisenstein q, decimal"
```
- addedInput schema / properties / r / description
```
Added value: +"claimed Eisenstein r, decimal"
```
- addedInput schema / properties / word / description
```
Added value: +"the cited word"
```
- addedInput schema / properties / word / enum
```
Added value: +[
+  "Z2_a2b",
+  "Z2_abAB"
+]
```
Changed4 schema fields changedSep 6, 2026
- removedInput schema / properties / q / description
```
Removed value: -"claimed Eisenstein q, decimal"
```
- removedInput schema / properties / r / description
```
Removed value: -"claimed Eisenstein r, decimal"
```
- removedInput schema / properties / word / description
```
Removed value: -"the cited word"
```
- removedInput schema / properties / word / enum
```
Removed value: -[
-  "Z2_a2b",
-  "Z2_abAB"
-]
```
Changed4 schema fields changedSep 6, 2026
- addedInput schema / properties / q / description
```
Added value: +"claimed Eisenstein q, decimal"
```
- addedInput schema / properties / r / description
```
Added value: +"claimed Eisenstein r, decimal"
```
- addedInput schema / properties / word / description
```
Added value: +"the cited word"
```
- addedInput schema / properties / word / enum
```
Added value: +[
+  "Z2_a2b",
+  "Z2_abAB"
+]
```
Changed4 schema fields changedSep 6, 2026
- removedInput schema / properties / q / description
```
Removed value: -"claimed Eisenstein q, decimal"
```
- removedInput schema / properties / r / description
```
Removed value: -"claimed Eisenstein r, decimal"
```
- removedInput schema / properties / word / description
```
Removed value: -"the cited word"
```
- removedInput schema / properties / word / enum
```
Removed value: -[
-  "Z2_a2b",
-  "Z2_abAB"
-]
```
Changed4 schema fields changedSep 6, 2026
- addedInput schema / properties / q / description
```
Added value: +"claimed Eisenstein q, decimal"
```
- addedInput schema / properties / r / description
```
Added value: +"claimed Eisenstein r, decimal"
```
- addedInput schema / properties / word / description
```
Added value: +"the cited word"
```
- addedInput schema / properties / word / enum
```
Added value: +[
+  "Z2_a2b",
+  "Z2_abAB"
+]
```
Changed4 schema fields changedSep 6, 2026
- removedInput schema / properties / q / description
```
Removed value: -"claimed Eisenstein q, decimal"
```
- removedInput schema / properties / r / description
```
Removed value: -"claimed Eisenstein r, decimal"
```
- removedInput schema / properties / word / description
```
Removed value: -"the cited word"
```
- removedInput schema / properties / word / enum
```
Removed value: -[
-  "Z2_a2b",
-  "Z2_abAB"
-]
```
Changed4 schema fields changedSep 6, 2026
- addedInput schema / properties / q / description
```
Added value: +"claimed Eisenstein q, decimal"
```
- addedInput schema / properties / r / description
```
Added value: +"claimed Eisenstein r, decimal"
```
- addedInput schema / properties / word / description
```
Added value: +"the cited word"
```
- addedInput schema / properties / word / enum
```
Added value: +[
+  "Z2_a2b",
+  "Z2_abAB"
+]
```
Changed4 schema fields changedSep 6, 2026
- removedInput schema / properties / q / description
```
Removed value: -"claimed Eisenstein q, decimal"
```
- removedInput schema / properties / r / description
```
Removed value: -"claimed Eisenstein r, decimal"
```
- removedInput schema / properties / word / description
```
Removed value: -"the cited word"
```
- removedInput schema / properties / word / enum
```
Removed value: -[
-  "Z2_a2b",
-  "Z2_abAB"
-]
```
Changed4 schema fields changedSep 6, 2026
- addedInput schema / properties / q / description
```
Added value: +"claimed Eisenstein q, decimal"
```
- addedInput schema / properties / r / description
```
Added value: +"claimed Eisenstein r, decimal"
```
- addedInput schema / properties / word / description
```
Added value: +"the cited word"
```
- addedInput schema / properties / word / enum
```
Added value: +[
+  "Z2_a2b",
+  "Z2_abAB"
+]
```
Changed4 schema fields changedSep 6, 2026
- removedInput schema / properties / q / description
```
Removed value: -"claimed Eisenstein q, decimal"
```
- removedInput schema / properties / r / description
```
Removed value: -"claimed Eisenstein r, decimal"
```
- removedInput schema / properties / word / description
```
Removed value: -"the cited word"
```
- removedInput schema / properties / word / enum
```
Removed value: -[
-  "Z2_a2b",
-  "Z2_abAB"
-]
```
Changed4 schema fields changedSep 6, 2026
- addedInput schema / properties / q / description
```
Added value: +"claimed Eisenstein q, decimal"
```
- addedInput schema / properties / r / description
```
Added value: +"claimed Eisenstein r, decimal"
```
- addedInput schema / properties / word / description
```
Added value: +"the cited word"
```
- addedInput schema / properties / word / enum
```
Added value: +[
+  "Z2_a2b",
+  "Z2_abAB"
+]
```
Changed4 schema fields changedSep 6, 2026
- removedInput schema / properties / q / description
```
Removed value: -"claimed Eisenstein q, decimal"
```
- removedInput schema / properties / r / description
```
Removed value: -"claimed Eisenstein r, decimal"
```
- removedInput schema / properties / word / description
```
Removed value: -"the cited word"
```
- removedInput schema / properties / word / enum
```
Removed value: -[
-  "Z2_a2b",
-  "Z2_abAB"
-]
```
Changed4 schema fields changedSep 6, 2026
- addedInput schema / properties / q / description
```
Added value: +"claimed Eisenstein q, decimal"
```
- addedInput schema / properties / r / description
```
Added value: +"claimed Eisenstein r, decimal"
```
- addedInput schema / properties / word / description
```
Added value: +"the cited word"
```
- addedInput schema / properties / word / enum
```
Added value: +[
+  "Z2_a2b",
+  "Z2_abAB"
+]
```
Changed4 schema fields changedSep 6, 2026
- removedInput schema / properties / q / description
```
Removed value: -"claimed Eisenstein q, decimal"
```
- removedInput schema / properties / r / description
```
Removed value: -"claimed Eisenstein r, decimal"
```
- removedInput schema / properties / word / description
```
Removed value: -"the cited word"
```
- removedInput schema / properties / word / enum
```
Removed value: -[
-  "Z2_a2b",
-  "Z2_abAB"
-]
```
Changed4 schema fields changedSep 6, 2026
- addedInput schema / properties / q / description
```
Added value: +"claimed Eisenstein q, decimal"
```
- addedInput schema / properties / r / description
```
Added value: +"claimed Eisenstein r, decimal"
```
- addedInput schema / properties / word / description
```
Added value: +"the cited word"
```
- addedInput schema / properties / word / enum
```
Added value: +[
+  "Z2_a2b",
+  "Z2_abAB"
+]
```
Changed4 schema fields changedSep 6, 2026
- removedInput schema / properties / q / description
```
Removed value: -"claimed Eisenstein q, decimal"
```
- removedInput schema / properties / r / description
```
Removed value: -"claimed Eisenstein r, decimal"
```
- removedInput schema / properties / word / description
```
Removed value: -"the cited word"
```
- removedInput schema / properties / word / enum
```
Removed value: -[
-  "Z2_a2b",
-  "Z2_abAB"
-]
```
Changed4 schema fields changedSep 6, 2026
- addedInput schema / properties / q / description
```
Added value: +"claimed Eisenstein q, decimal"
```
- addedInput schema / properties / r / description
```
Added value: +"claimed Eisenstein r, decimal"
```
- addedInput schema / properties / word / description
```
Added value: +"the cited word"
```
- addedInput schema / properties / word / enum
```
Added value: +[
+  "Z2_a2b",
+  "Z2_abAB"
+]
```
Changed4 schema fields changedSep 6, 2026
- removedInput schema / properties / q / description
```
Removed value: -"claimed Eisenstein q, decimal"
```
- removedInput schema / properties / r / description
```
Removed value: -"claimed Eisenstein r, decimal"
```
- removedInput schema / properties / word / description
```
Removed value: -"the cited word"
```
- removedInput schema / properties / word / enum
```
Removed value: -[
-  "Z2_a2b",
-  "Z2_abAB"
-]
```
Changed4 schema fields changedSep 6, 2026
- addedInput schema / properties / q / description
```
Added value: +"claimed Eisenstein q, decimal"
```
- addedInput schema / properties / r / description
```
Added value: +"claimed Eisenstein r, decimal"
```
- addedInput schema / properties / word / description
```
Added value: +"the cited word"
```
- addedInput schema / properties / word / enum
```
Added value: +[
+  "Z2_a2b",
+  "Z2_abAB"
+]
```
Changed4 schema fields changedSep 6, 2026
- removedInput schema / properties / q / description
```
Removed value: -"claimed Eisenstein q, decimal"
```
- removedInput schema / properties / r / description
```
Removed value: -"claimed Eisenstein r, decimal"
```
- removedInput schema / properties / word / description
```
Removed value: -"the cited word"
```
- removedInput schema / properties / word / enum
```
Removed value: -[
-  "Z2_a2b",
-  "Z2_abAB"
-]
```
Changed4 schema fields changedSep 6, 2026
- addedInput schema / properties / q / description
```
Added value: +"claimed Eisenstein q, decimal"
```
- addedInput schema / properties / r / description
```
Added value: +"claimed Eisenstein r, decimal"
```
- addedInput schema / properties / word / description
```
Added value: +"the cited word"
```
- addedInput schema / properties / word / enum
```
Added value: +[
+  "Z2_a2b",
+  "Z2_abAB"
+]
```
Changed4 schema fields changedSep 6, 2026
- removedInput schema / properties / q / description
```
Removed value: -"claimed Eisenstein q, decimal"
```
- removedInput schema / properties / r / description
```
Removed value: -"claimed Eisenstein r, decimal"
```
- removedInput schema / properties / word / description
```
Removed value: -"the cited word"
```
- removedInput schema / properties / word / enum
```
Removed value: -[
-  "Z2_a2b",
-  "Z2_abAB"
-]
```
Changed4 schema fields changedSep 6, 2026
- addedInput schema / properties / q / description
```
Added value: +"claimed Eisenstein q, decimal"
```
- addedInput schema / properties / r / description
```
Added value: +"claimed Eisenstein r, decimal"
```
- addedInput schema / properties / word / description
```
Added value: +"the cited word"
```
- addedInput schema / properties / word / enum
```
Added value: +[
+  "Z2_a2b",
+  "Z2_abAB"
+]
```
Changed4 schema fields changedSep 6, 2026
- removedInput schema / properties / q / description
```
Removed value: -"claimed Eisenstein q, decimal"
```
- removedInput schema / properties / r / description
```
Removed value: -"claimed Eisenstein r, decimal"
```
- removedInput schema / properties / word / description
```
Removed value: -"the cited word"
```
- removedInput schema / properties / word / enum
```
Removed value: -[
-  "Z2_a2b",
-  "Z2_abAB"
-]
```
Changed4 schema fields changedSep 6, 2026
- addedInput schema / properties / q / description
```
Added value: +"claimed Eisenstein q, decimal"
```
- addedInput schema / properties / r / description
```
Added value: +"claimed Eisenstein r, decimal"
```
- addedInput schema / properties / word / description
```
Added value: +"the cited word"
```
- addedInput schema / properties / word / enum
```
Added value: +[
+  "Z2_a2b",
+  "Z2_abAB"
+]
```
Changed4 schema fields changedSep 6, 2026
- removedInput schema / properties / q / description
```
Removed value: -"claimed Eisenstein q, decimal"
```
- removedInput schema / properties / r / description
```
Removed value: -"claimed Eisenstein r, decimal"
```
- removedInput schema / properties / word / description
```
Removed value: -"the cited word"
```
- removedInput schema / properties / word / enum
```
Removed value: -[
-  "Z2_a2b",
-  "Z2_abAB"
-]
```
Changed4 schema fields changedSep 6, 2026
- addedInput schema / properties / q / description
```
Added value: +"claimed Eisenstein q, decimal"
```
- addedInput schema / properties / r / description
```
Added value: +"claimed Eisenstein r, decimal"
```
- addedInput schema / properties / word / description
```
Added value: +"the cited word"
```
- addedInput schema / properties / word / enum
```
Added value: +[
+  "Z2_a2b",
+  "Z2_abAB"
+]
```
Changed4 schema fields changedSep 6, 2026
- removedInput schema / properties / q / description
```
Removed value: -"claimed Eisenstein q, decimal"
```
- removedInput schema / properties / r / description
```
Removed value: -"claimed Eisenstein r, decimal"
```
- removedInput schema / properties / word / description
```
Removed value: -"the cited word"
```
- removedInput schema / properties / word / enum
```
Removed value: -[
-  "Z2_a2b",
-  "Z2_abAB"
-]
```
Changed4 schema fields changedSep 6, 2026
- addedInput schema / properties / q / description
```
Added value: +"claimed Eisenstein q, decimal"
```
- addedInput schema / properties / r / description
```
Added value: +"claimed Eisenstein r, decimal"
```
- addedInput schema / properties / word / description
```
Added value: +"the cited word"
```
- addedInput schema / properties / word / enum
```
Added value: +[
+  "Z2_a2b",
+  "Z2_abAB"
+]
```
Changed4 schema fields changedSep 6, 2026
- removedInput schema / properties / q / description
```
Removed value: -"claimed Eisenstein q, decimal"
```
- removedInput schema / properties / r / description
```
Removed value: -"claimed Eisenstein r, decimal"
```
- removedInput schema / properties / word / description
```
Removed value: -"the cited word"
```
- removedInput schema / properties / word / enum
```
Removed value: -[
-  "Z2_a2b",
-  "Z2_abAB"
-]
```
Changed4 schema fields changedSep 6, 2026
- addedInput schema / properties / q / description
```
Added value: +"claimed Eisenstein q, decimal"
```
- addedInput schema / properties / r / description
```
Added value: +"claimed Eisenstein r, decimal"
```
- addedInput schema / properties / word / description
```
Added value: +"the cited word"
```
- addedInput schema / properties / word / enum
```
Added value: +[
+  "Z2_a2b",
+  "Z2_abAB"
+]
```
Changed4 schema fields changedSep 5, 2026
- removedInput schema / properties / q / description
```
Removed value: -"claimed Eisenstein q, decimal"
```
- removedInput schema / properties / r / description
```
Removed value: -"claimed Eisenstein r, decimal"
```
- removedInput schema / properties / word / description
```
Removed value: -"the cited word"
```
- removedInput schema / properties / word / enum
```
Removed value: -[
-  "Z2_a2b",
-  "Z2_abAB"
-]
```
Changed4 schema fields changedSep 5, 2026
- addedInput schema / properties / q / description
```
Added value: +"claimed Eisenstein q, decimal"
```
- addedInput schema / properties / r / description
```
Added value: +"claimed Eisenstein r, decimal"
```
- addedInput schema / properties / word / description
```
Added value: +"the cited word"
```
- addedInput schema / properties / word / enum
```
Added value: +[
+  "Z2_a2b",
+  "Z2_abAB"
+]
```
Changed4 schema fields changedSep 5, 2026
- removedInput schema / properties / q / description
```
Removed value: -"claimed Eisenstein q, decimal"
```
- removedInput schema / properties / r / description
```
Removed value: -"claimed Eisenstein r, decimal"
```
- removedInput schema / properties / word / description
```
Removed value: -"the cited word"
```
- removedInput schema / properties / word / enum
```
Removed value: -[
-  "Z2_a2b",
-  "Z2_abAB"
-]
```
Changed4 schema fields changedSep 5, 2026
- addedInput schema / properties / q / description
```
Added value: +"claimed Eisenstein q, decimal"
```
- addedInput schema / properties / r / description
```
Added value: +"claimed Eisenstein r, decimal"
```
- addedInput schema / properties / word / description
```
Added value: +"the cited word"
```
- addedInput schema / properties / word / enum
```
Added value: +[
+  "Z2_a2b",
+  "Z2_abAB"
+]
```
Changed4 schema fields changedSep 5, 2026
- removedInput schema / properties / q / description
```
Removed value: -"claimed Eisenstein q, decimal"
```
- removedInput schema / properties / r / description
```
Removed value: -"claimed Eisenstein r, decimal"
```
- removedInput schema / properties / word / description
```
Removed value: -"the cited word"
```
- removedInput schema / properties / word / enum
```
Removed value: -[
-  "Z2_a2b",
-  "Z2_abAB"
-]
```
Changed4 schema fields changedSep 5, 2026
- addedInput schema / properties / q / description
```
Added value: +"claimed Eisenstein q, decimal"
```
- addedInput schema / properties / r / description
```
Added value: +"claimed Eisenstein r, decimal"
```
- addedInput schema / properties / word / description
```
Added value: +"the cited word"
```
- addedInput schema / properties / word / enum
```
Added value: +[
+  "Z2_a2b",
+  "Z2_abAB"
+]
```
Changed4 schema fields changedSep 5, 2026
- removedInput schema / properties / q / description
```
Removed value: -"claimed Eisenstein q, decimal"
```
- removedInput schema / properties / r / description
```
Removed value: -"claimed Eisenstein r, decimal"
```
- removedInput schema / properties / word / description
```
Removed value: -"the cited word"
```
- removedInput schema / properties / word / enum
```
Removed value: -[
-  "Z2_a2b",
-  "Z2_abAB"
-]
```
Changed4 schema fields changedSep 5, 2026
- addedInput schema / properties / q / description
```
Added value: +"claimed Eisenstein q, decimal"
```
- addedInput schema / properties / r / description
```
Added value: +"claimed Eisenstein r, decimal"
```
- addedInput schema / properties / word / description
```
Added value: +"the cited word"
```
- addedInput schema / properties / word / enum
```
Added value: +[
+  "Z2_a2b",
+  "Z2_abAB"
+]
```
Changed4 schema fields changedSep 5, 2026
- removedInput schema / properties / q / description
```
Removed value: -"claimed Eisenstein q, decimal"
```
- removedInput schema / properties / r / description
```
Removed value: -"claimed Eisenstein r, decimal"
```
- removedInput schema / properties / word / description
```
Removed value: -"the cited word"
```
- removedInput schema / properties / word / enum
```
Removed value: -[
-  "Z2_a2b",
-  "Z2_abAB"
-]
```
Changed4 schema fields changedSep 5, 2026
- addedInput schema / properties / q / description
```
Added value: +"claimed Eisenstein q, decimal"
```
- addedInput schema / properties / r / description
```
Added value: +"claimed Eisenstein r, decimal"
```
- addedInput schema / properties / word / description
```
Added value: +"the cited word"
```
- addedInput schema / properties / word / enum
```
Added value: +[
+  "Z2_a2b",
+  "Z2_abAB"
+]
```
Changed4 schema fields changedSep 5, 2026
- removedInput schema / properties / q / description
```
Removed value: -"claimed Eisenstein q, decimal"
```
- removedInput schema / properties / r / description
```
Removed value: -"claimed Eisenstein r, decimal"
```
- removedInput schema / properties / word / description
```
Removed value: -"the cited word"
```
- removedInput schema / properties / word / enum
```
Removed value: -[
-  "Z2_a2b",
-  "Z2_abAB"
-]
```
Changed4 schema fields changedSep 5, 2026
- addedInput schema / properties / q / description
```
Added value: +"claimed Eisenstein q, decimal"
```
- addedInput schema / properties / r / description
```
Added value: +"claimed Eisenstein r, decimal"
```
- addedInput schema / properties / word / description
```
Added value: +"the cited word"
```
- addedInput schema / properties / word / enum
```
Added value: +[
+  "Z2_a2b",
+  "Z2_abAB"
+]
```
Changed4 schema fields changedSep 5, 2026
- removedInput schema / properties / q / description
```
Removed value: -"claimed Eisenstein q, decimal"
```
- removedInput schema / properties / r / description
```
Removed value: -"claimed Eisenstein r, decimal"
```
- removedInput schema / properties / word / description
```
Removed value: -"the cited word"
```
- removedInput schema / properties / word / enum
```
Removed value: -[
-  "Z2_a2b",
-  "Z2_abAB"
-]
```
Changed4 schema fields changedSep 5, 2026
- addedInput schema / properties / q / description
```
Added value: +"claimed Eisenstein q, decimal"
```
- addedInput schema / properties / r / description
```
Added value: +"claimed Eisenstein r, decimal"
```
- addedInput schema / properties / word / description
```
Added value: +"the cited word"
```
- addedInput schema / properties / word / enum
```
Added value: +[
+  "Z2_a2b",
+  "Z2_abAB"
+]
```
Changed4 schema fields changedSep 5, 2026
- removedInput schema / properties / q / description
```
Removed value: -"claimed Eisenstein q, decimal"
```
- removedInput schema / properties / r / description
```
Removed value: -"claimed Eisenstein r, decimal"
```
- removedInput schema / properties / word / description
```
Removed value: -"the cited word"
```
- removedInput schema / properties / word / enum
```
Removed value: -[
-  "Z2_a2b",
-  "Z2_abAB"
-]
```
Changed4 schema fields changedSep 5, 2026
- addedInput schema / properties / q / description
```
Added value: +"claimed Eisenstein q, decimal"
```
- addedInput schema / properties / r / description
```
Added value: +"claimed Eisenstein r, decimal"
```
- addedInput schema / properties / word / description
```
Added value: +"the cited word"
```
- addedInput schema / properties / word / enum
```
Added value: +[
+  "Z2_a2b",
+  "Z2_abAB"
+]
```
Changed4 schema fields changedSep 5, 2026
- removedInput schema / properties / q / description
```
Removed value: -"claimed Eisenstein q, decimal"
```
- removedInput schema / properties / r / description
```
Removed value: -"claimed Eisenstein r, decimal"
```
- removedInput schema / properties / word / description
```
Removed value: -"the cited word"
```
- removedInput schema / properties / word / enum
```
Removed value: -[
-  "Z2_a2b",
-  "Z2_abAB"
-]
```
Changed4 schema fields changedSep 5, 2026
- addedInput schema / properties / q / description
```
Added value: +"claimed Eisenstein q, decimal"
```
- addedInput schema / properties / r / description
```
Added value: +"claimed Eisenstein r, decimal"
```
- addedInput schema / properties / word / description
```
Added value: +"the cited word"
```
- addedInput schema / properties / word / enum
```
Added value: +[
+  "Z2_a2b",
+  "Z2_abAB"
+]
```
Changed4 schema fields changedSep 5, 2026
- removedInput schema / properties / q / description
```
Removed value: -"claimed Eisenstein q, decimal"
```
- removedInput schema / properties / r / description
```
Removed value: -"claimed Eisenstein r, decimal"
```
- removedInput schema / properties / word / description
```
Removed value: -"the cited word"
```
- removedInput schema / properties / word / enum
```
Removed value: -[
-  "Z2_a2b",
-  "Z2_abAB"
-]
```
Changed4 schema fields changedSep 5, 2026
- addedInput schema / properties / q / description
```
Added value: +"claimed Eisenstein q, decimal"
```
- addedInput schema / properties / r / description
```
Added value: +"claimed Eisenstein r, decimal"
```
- addedInput schema / properties / word / description
```
Added value: +"the cited word"
```
- addedInput schema / properties / word / enum
```
Added value: +[
+  "Z2_a2b",
+  "Z2_abAB"
+]
```
Changed4 schema fields changedSep 5, 2026
- removedInput schema / properties / q / description
```
Removed value: -"claimed Eisenstein q, decimal"
```
- removedInput schema / properties / r / description
```
Removed value: -"claimed Eisenstein r, decimal"
```
- removedInput schema / properties / word / description
```
Removed value: -"the cited word"
```
- removedInput schema / properties / word / enum
```
Removed value: -[
-  "Z2_a2b",
-  "Z2_abAB"
-]
```
Changed4 schema fields changedSep 5, 2026
- addedInput schema / properties / q / description
```
Added value: +"claimed Eisenstein q, decimal"
```
- addedInput schema / properties / r / description
```
Added value: +"claimed Eisenstein r, decimal"
```
- addedInput schema / properties / word / description
```
Added value: +"the cited word"
```
- addedInput schema / properties / word / enum
```
Added value: +[
+  "Z2_a2b",
+  "Z2_abAB"
+]
```
Changed4 schema fields changedSep 5, 2026
- removedInput schema / properties / q / description
```
Removed value: -"claimed Eisenstein q, decimal"
```
- removedInput schema / properties / r / description
```
Removed value: -"claimed Eisenstein r, decimal"
```
- removedInput schema / properties / word / description
```
Removed value: -"the cited word"
```
- removedInput schema / properties / word / enum
```
Removed value: -[
-  "Z2_a2b",
-  "Z2_abAB"
-]
```
Changed4 schema fields changedSep 5, 2026
- addedInput schema / properties / q / description
```
Added value: +"claimed Eisenstein q, decimal"
```
- addedInput schema / properties / r / description
```
Added value: +"claimed Eisenstein r, decimal"
```
- addedInput schema / properties / word / description
```
Added value: +"the cited word"
```
- addedInput schema / properties / word / enum
```
Added value: +[
+  "Z2_a2b",
+  "Z2_abAB"
+]
```
Changed4 schema fields changedSep 5, 2026
- removedInput schema / properties / q / description
```
Removed value: -"claimed Eisenstein q, decimal"
```
- removedInput schema / properties / r / description
```
Removed value: -"claimed Eisenstein r, decimal"
```
- removedInput schema / properties / word / description
```
Removed value: -"the cited word"
```
- removedInput schema / properties / word / enum
```
Removed value: -[
-  "Z2_a2b",
-  "Z2_abAB"
-]
```
Changed4 schema fields changedSep 5, 2026
- addedInput schema / properties / q / description
```
Added value: +"claimed Eisenstein q, decimal"
```
- addedInput schema / properties / r / description
```
Added value: +"claimed Eisenstein r, decimal"
```
- addedInput schema / properties / word / description
```
Added value: +"the cited word"
```
- addedInput schema / properties / word / enum
```
Added value: +[
+  "Z2_a2b",
+  "Z2_abAB"
+]
```
Changed4 schema fields changedSep 5, 2026
- removedInput schema / properties / q / description
```
Removed value: -"claimed Eisenstein q, decimal"
```
- removedInput schema / properties / r / description
```
Removed value: -"claimed Eisenstein r, decimal"
```
- removedInput schema / properties / word / description
```
Removed value: -"the cited word"
```
- removedInput schema / properties / word / enum
```
Removed value: -[
-  "Z2_a2b",
-  "Z2_abAB"
-]
```
Changed4 schema fields changedSep 5, 2026
- addedInput schema / properties / q / description
```
Added value: +"claimed Eisenstein q, decimal"
```
- addedInput schema / properties / r / description
```
Added value: +"claimed Eisenstein r, decimal"
```
- addedInput schema / properties / word / description
```
Added value: +"the cited word"
```
- addedInput schema / properties / word / enum
```
Added value: +[
+  "Z2_a2b",
+  "Z2_abAB"
+]
```
Changed4 schema fields changedSep 5, 2026
- removedInput schema / properties / q / description
```
Removed value: -"claimed Eisenstein q, decimal"
```
- removedInput schema / properties / r / description
```
Removed value: -"claimed Eisenstein r, decimal"
```
- removedInput schema / properties / word / description
```
Removed value: -"the cited word"
```
- removedInput schema / properties / word / enum
```
Removed value: -[
-  "Z2_a2b",
-  "Z2_abAB"
-]
```
Changed4 schema fields changedSep 4, 2026
- addedInput schema / properties / q / description
```
Added value: +"claimed Eisenstein q, decimal"
```
- addedInput schema / properties / r / description
```
Added value: +"claimed Eisenstein r, decimal"
```
- addedInput schema / properties / word / description
```
Added value: +"the cited word"
```
- addedInput schema / properties / word / enum
```
Added value: +[
+  "Z2_a2b",
+  "Z2_abAB"
+]
```
Changed4 schema fields changedSep 4, 2026
- removedInput schema / properties / q / description
```
Removed value: -"claimed Eisenstein q, decimal"
```
- removedInput schema / properties / r / description
```
Removed value: -"claimed Eisenstein r, decimal"
```
- removedInput schema / properties / word / description
```
Removed value: -"the cited word"
```
- removedInput schema / properties / word / enum
```
Removed value: -[
-  "Z2_a2b",
-  "Z2_abAB"
-]
```
Changed4 schema fields changedSep 4, 2026
- addedInput schema / properties / q / description
```
Added value: +"claimed Eisenstein q, decimal"
```
- addedInput schema / properties / r / description
```
Added value: +"claimed Eisenstein r, decimal"
```
- addedInput schema / properties / word / description
```
Added value: +"the cited word"
```
- addedInput schema / properties / word / enum
```
Added value: +[
+  "Z2_a2b",
+  "Z2_abAB"
+]
```
Changed4 schema fields changedSep 4, 2026
- removedInput schema / properties / q / description
```
Removed value: -"claimed Eisenstein q, decimal"
```
- removedInput schema / properties / r / description
```
Removed value: -"claimed Eisenstein r, decimal"
```
- removedInput schema / properties / word / description
```
Removed value: -"the cited word"
```
- removedInput schema / properties / word / enum
```
Removed value: -[
-  "Z2_a2b",
-  "Z2_abAB"
-]
```
Changed4 schema fields changedSep 4, 2026
- addedInput schema / properties / q / description
```
Added value: +"claimed Eisenstein q, decimal"
```
- addedInput schema / properties / r / description
```
Added value: +"claimed Eisenstein r, decimal"
```
- addedInput schema / properties / word / description
```
Added value: +"the cited word"
```
- addedInput schema / properties / word / enum
```
Added value: +[
+  "Z2_a2b",
+  "Z2_abAB"
+]
```
Changed4 schema fields changedSep 4, 2026
- removedInput schema / properties / q / description
```
Removed value: -"claimed Eisenstein q, decimal"
```
- removedInput schema / properties / r / description
```
Removed value: -"claimed Eisenstein r, decimal"
```
- removedInput schema / properties / word / description
```
Removed value: -"the cited word"
```
- removedInput schema / properties / word / enum
```
Removed value: -[
-  "Z2_a2b",
-  "Z2_abAB"
-]
```
Changed4 schema fields changedSep 4, 2026
- addedInput schema / properties / q / description
```
Added value: +"claimed Eisenstein q, decimal"
```
- addedInput schema / properties / r / description
```
Added value: +"claimed Eisenstein r, decimal"
```
- addedInput schema / properties / word / description
```
Added value: +"the cited word"
```
- addedInput schema / properties / word / enum
```
Added value: +[
+  "Z2_a2b",
+  "Z2_abAB"
+]
```
Changed4 schema fields changedSep 4, 2026
- removedInput schema / properties / q / description
```
Removed value: -"claimed Eisenstein q, decimal"
```
- removedInput schema / properties / r / description
```
Removed value: -"claimed Eisenstein r, decimal"
```
- removedInput schema / properties / word / description
```
Removed value: -"the cited word"
```
- removedInput schema / properties / word / enum
```
Removed value: -[
-  "Z2_a2b",
-  "Z2_abAB"
-]
```
Changed4 schema fields changedSep 4, 2026
- addedInput schema / properties / q / description
```
Added value: +"claimed Eisenstein q, decimal"
```
- addedInput schema / properties / r / description
```
Added value: +"claimed Eisenstein r, decimal"
```
- addedInput schema / properties / word / description
```
Added value: +"the cited word"
```
- addedInput schema / properties / word / enum
```
Added value: +[
+  "Z2_a2b",
+  "Z2_abAB"
+]
```
Changed4 schema fields changedSep 4, 2026
- removedInput schema / properties / q / description
```
Removed value: -"claimed Eisenstein q, decimal"
```
- removedInput schema / properties / r / description
```
Removed value: -"claimed Eisenstein r, decimal"
```
- removedInput schema / properties / word / description
```
Removed value: -"the cited word"
```
- removedInput schema / properties / word / enum
```
Removed value: -[
-  "Z2_a2b",
-  "Z2_abAB"
-]
```
Changed4 schema fields changedSep 4, 2026
- addedInput schema / properties / q / description
```
Added value: +"claimed Eisenstein q, decimal"
```
- addedInput schema / properties / r / description
```
Added value: +"claimed Eisenstein r, decimal"
```
- addedInput schema / properties / word / description
```
Added value: +"the cited word"
```
- addedInput schema / properties / word / enum
```
Added value: +[
+  "Z2_a2b",
+  "Z2_abAB"
+]
```
Changed4 schema fields changedSep 4, 2026
- removedInput schema / properties / q / description
```
Removed value: -"claimed Eisenstein q, decimal"
```
- removedInput schema / properties / r / description
```
Removed value: -"claimed Eisenstein r, decimal"
```
- removedInput schema / properties / word / description
```
Removed value: -"the cited word"
```
- removedInput schema / properties / word / enum
```
Removed value: -[
-  "Z2_a2b",
-  "Z2_abAB"
-]
```
Changed4 schema fields changedSep 4, 2026
- addedInput schema / properties / q / description
```
Added value: +"claimed Eisenstein q, decimal"
```
- addedInput schema / properties / r / description
```
Added value: +"claimed Eisenstein r, decimal"
```
- addedInput schema / properties / word / description
```
Added value: +"the cited word"
```
- addedInput schema / properties / word / enum
```
Added value: +[
+  "Z2_a2b",
+  "Z2_abAB"
+]
```
Changed4 schema fields changedSep 4, 2026
- removedInput schema / properties / q / description
```
Removed value: -"claimed Eisenstein q, decimal"
```
- removedInput schema / properties / r / description
```
Removed value: -"claimed Eisenstein r, decimal"
```
- removedInput schema / properties / word / description
```
Removed value: -"the cited word"
```
- removedInput schema / properties / word / enum
```
Removed value: -[
-  "Z2_a2b",
-  "Z2_abAB"
-]
```
Changed4 schema fields changedSep 4, 2026
- addedInput schema / properties / q / description
```
Added value: +"claimed Eisenstein q, decimal"
```
- addedInput schema / properties / r / description
```
Added value: +"claimed Eisenstein r, decimal"
```
- addedInput schema / properties / word / description
```
Added value: +"the cited word"
```
- addedInput schema / properties / word / enum
```
Added value: +[
+  "Z2_a2b",
+  "Z2_abAB"
+]
```
Changed4 schema fields changedSep 4, 2026
- removedInput schema / properties / q / description
```
Removed value: -"claimed Eisenstein q, decimal"
```
- removedInput schema / properties / r / description
```
Removed value: -"claimed Eisenstein r, decimal"
```
- removedInput schema / properties / word / description
```
Removed value: -"the cited word"
```
- removedInput schema / properties / word / enum
```
Removed value: -[
-  "Z2_a2b",
-  "Z2_abAB"
-]
```
Changed4 schema fields changedSep 4, 2026
- addedInput schema / properties / q / description
```
Added value: +"claimed Eisenstein q, decimal"
```
- addedInput schema / properties / r / description
```
Added value: +"claimed Eisenstein r, decimal"
```
- addedInput schema / properties / word / description
```
Added value: +"the cited word"
```
- addedInput schema / properties / word / enum
```
Added value: +[
+  "Z2_a2b",
+  "Z2_abAB"
+]
```
Changed4 schema fields changedSep 4, 2026
- removedInput schema / properties / q / description
```
Removed value: -"claimed Eisenstein q, decimal"
```
- removedInput schema / properties / r / description
```
Removed value: -"claimed Eisenstein r, decimal"
```
- removedInput schema / properties / word / description
```
Removed value: -"the cited word"
```
- removedInput schema / properties / word / enum
```
Removed value: -[
-  "Z2_a2b",
-  "Z2_abAB"
-]
```
Changed4 schema fields changedSep 4, 2026
- addedInput schema / properties / q / description
```
Added value: +"claimed Eisenstein q, decimal"
```
- addedInput schema / properties / r / description
```
Added value: +"claimed Eisenstein r, decimal"
```
- addedInput schema / properties / word / description
```
Added value: +"the cited word"
```
- addedInput schema / properties / word / enum
```
Added value: +[
+  "Z2_a2b",
+  "Z2_abAB"
+]
```
Changed4 schema fields changedSep 4, 2026
- removedInput schema / properties / q / description
```
Removed value: -"claimed Eisenstein q, decimal"
```
- removedInput schema / properties / r / description
```
Removed value: -"claimed Eisenstein r, decimal"
```
- removedInput schema / properties / word / description
```
Removed value: -"the cited word"
```
- removedInput schema / properties / word / enum
```
Removed value: -[
-  "Z2_a2b",
-  "Z2_abAB"
-]
```
Changed4 schema fields changedSep 4, 2026
- addedInput schema / properties / q / description
```
Added value: +"claimed Eisenstein q, decimal"
```
- addedInput schema / properties / r / description
```
Added value: +"claimed Eisenstein r, decimal"
```
- addedInput schema / properties / word / description
```
Added value: +"the cited word"
```
- addedInput schema / properties / word / enum
```
Added value: +[
+  "Z2_a2b",
+  "Z2_abAB"
+]
```
Changed4 schema fields changedSep 3, 2026
- removedInput schema / properties / q / description
```
Removed value: -"claimed Eisenstein q, decimal"
```
- removedInput schema / properties / r / description
```
Removed value: -"claimed Eisenstein r, decimal"
```
- removedInput schema / properties / word / description
```
Removed value: -"the cited word"
```
- removedInput schema / properties / word / enum
```
Removed value: -[
-  "Z2_a2b",
-  "Z2_abAB"
-]
```
Changed4 schema fields changedSep 3, 2026
- addedInput schema / properties / q / description
```
Added value: +"claimed Eisenstein q, decimal"
```
- addedInput schema / properties / r / description
```
Added value: +"claimed Eisenstein r, decimal"
```
- addedInput schema / properties / word / description
```
Added value: +"the cited word"
```
- addedInput schema / properties / word / enum
```
Added value: +[
+  "Z2_a2b",
+  "Z2_abAB"
+]
```
Changed4 schema fields changedSep 3, 2026
- removedInput schema / properties / q / description
```
Removed value: -"claimed Eisenstein q, decimal"
```
- removedInput schema / properties / r / description
```
Removed value: -"claimed Eisenstein r, decimal"
```
- removedInput schema / properties / word / description
```
Removed value: -"the cited word"
```
- removedInput schema / properties / word / enum
```
Removed value: -[
-  "Z2_a2b",
-  "Z2_abAB"
-]
```
Changed4 schema fields changedSep 3, 2026
- addedInput schema / properties / q / description
```
Added value: +"claimed Eisenstein q, decimal"
```
- addedInput schema / properties / r / description
```
Added value: +"claimed Eisenstein r, decimal"
```
- addedInput schema / properties / word / description
```
Added value: +"the cited word"
```
- addedInput schema / properties / word / enum
```
Added value: +[
+  "Z2_a2b",
+  "Z2_abAB"
+]
```
Changed4 schema fields changedSep 3, 2026
- removedInput schema / properties / q / description
```
Removed value: -"claimed Eisenstein q, decimal"
```
- removedInput schema / properties / r / description
```
Removed value: -"claimed Eisenstein r, decimal"
```
- removedInput schema / properties / word / description
```
Removed value: -"the cited word"
```
- removedInput schema / properties / word / enum
```
Removed value: -[
-  "Z2_a2b",
-  "Z2_abAB"
-]
```
Changed4 schema fields changedSep 3, 2026
- addedInput schema / properties / q / description
```
Added value: +"claimed Eisenstein q, decimal"
```
- addedInput schema / properties / r / description
```
Added value: +"claimed Eisenstein r, decimal"
```
- addedInput schema / properties / word / description
```
Added value: +"the cited word"
```
- addedInput schema / properties / word / enum
```
Added value: +[
+  "Z2_a2b",
+  "Z2_abAB"
+]
```
Changed4 schema fields changedSep 3, 2026
- removedInput schema / properties / q / description
```
Removed value: -"claimed Eisenstein q, decimal"
```
- removedInput schema / properties / r / description
```
Removed value: -"claimed Eisenstein r, decimal"
```
- removedInput schema / properties / word / description
```
Removed value: -"the cited word"
```
- removedInput schema / properties / word / enum
```
Removed value: -[
-  "Z2_a2b",
-  "Z2_abAB"
-]
```
Changed4 schema fields changedSep 3, 2026
- addedInput schema / properties / q / description
```
Added value: +"claimed Eisenstein q, decimal"
```
- addedInput schema / properties / r / description
```
Added value: +"claimed Eisenstein r, decimal"
```
- addedInput schema / properties / word / description
```
Added value: +"the cited word"
```
- addedInput schema / properties / word / enum
```
Added value: +[
+  "Z2_a2b",
+  "Z2_abAB"
+]
```
Changed4 schema fields changedSep 3, 2026
- removedInput schema / properties / q / description
```
Removed value: -"claimed Eisenstein q, decimal"
```
- removedInput schema / properties / r / description
```
Removed value: -"claimed Eisenstein r, decimal"
```
- removedInput schema / properties / word / description
```
Removed value: -"the cited word"
```
- removedInput schema / properties / word / enum
```
Removed value: -[
-  "Z2_a2b",
-  "Z2_abAB"
-]
```
Changed4 schema fields changedSep 3, 2026
- addedInput schema / properties / q / description
```
Added value: +"claimed Eisenstein q, decimal"
```
- addedInput schema / properties / r / description
```
Added value: +"claimed Eisenstein r, decimal"
```
- addedInput schema / properties / word / description
```
Added value: +"the cited word"
```
- addedInput schema / properties / word / enum
```
Added value: +[
+  "Z2_a2b",
+  "Z2_abAB"
+]
```
Changed4 schema fields changedSep 3, 2026
- removedInput schema / properties / q / description
```
Removed value: -"claimed Eisenstein q, decimal"
```
- removedInput schema / properties / r / description
```
Removed value: -"claimed Eisenstein r, decimal"
```
- removedInput schema / properties / word / description
```
Removed value: -"the cited word"
```
- removedInput schema / properties / word / enum
```
Removed value: -[
-  "Z2_a2b",
-  "Z2_abAB"
-]
```
Changed4 schema fields changedSep 3, 2026
- addedInput schema / properties / q / description
```
Added value: +"claimed Eisenstein q, decimal"
```
- addedInput schema / properties / r / description
```
Added value: +"claimed Eisenstein r, decimal"
```
- addedInput schema / properties / word / description
```
Added value: +"the cited word"
```
- addedInput schema / properties / word / enum
```
Added value: +[
+  "Z2_a2b",
+  "Z2_abAB"
+]
```
Changed4 schema fields changedSep 3, 2026
- removedInput schema / properties / q / description
```
Removed value: -"claimed Eisenstein q, decimal"
```
- removedInput schema / properties / r / description
```
Removed value: -"claimed Eisenstein r, decimal"
```
- removedInput schema / properties / word / description
```
Removed value: -"the cited word"
```
- removedInput schema / properties / word / enum
```
Removed value: -[
-  "Z2_a2b",
-  "Z2_abAB"
-]
```
Changed4 schema fields changedSep 3, 2026
- addedInput schema / properties / q / description
```
Added value: +"claimed Eisenstein q, decimal"
```
- addedInput schema / properties / r / description
```
Added value: +"claimed Eisenstein r, decimal"
```
- addedInput schema / properties / word / description
```
Added value: +"the cited word"
```
- addedInput schema / properties / word / enum
```
Added value: +[
+  "Z2_a2b",
+  "Z2_abAB"
+]
```
Changed4 schema fields changedSep 3, 2026
- removedInput schema / properties / q / description
```
Removed value: -"claimed Eisenstein q, decimal"
```
- removedInput schema / properties / r / description
```
Removed value: -"claimed Eisenstein r, decimal"
```
- removedInput schema / properties / word / description
```
Removed value: -"the cited word"
```
- removedInput schema / properties / word / enum
```
Removed value: -[
-  "Z2_a2b",
-  "Z2_abAB"
-]
```
Changed4 schema fields changedSep 3, 2026
- addedInput schema / properties / q / description
```
Added value: +"claimed Eisenstein q, decimal"
```
- addedInput schema / properties / r / description
```
Added value: +"claimed Eisenstein r, decimal"
```
- addedInput schema / properties / word / description
```
Added value: +"the cited word"
```
- addedInput schema / properties / word / enum
```
Added value: +[
+  "Z2_a2b",
+  "Z2_abAB"
+]
```
Changed4 schema fields changedSep 3, 2026
- removedInput schema / properties / q / description
```
Removed value: -"claimed Eisenstein q, decimal"
```
- removedInput schema / properties / r / description
```
Removed value: -"claimed Eisenstein r, decimal"
```
- removedInput schema / properties / word / description
```
Removed value: -"the cited word"
```
- removedInput schema / properties / word / enum
```
Removed value: -[
-  "Z2_a2b",
-  "Z2_abAB"
-]
```
Changed4 schema fields changedSep 3, 2026
- addedInput schema / properties / q / description
```
Added value: +"claimed Eisenstein q, decimal"
```
- addedInput schema / properties / r / description
```
Added value: +"claimed Eisenstein r, decimal"
```
- addedInput schema / properties / word / description
```
Added value: +"the cited word"
```
- addedInput schema / properties / word / enum
```
Added value: +[
+  "Z2_a2b",
+  "Z2_abAB"
+]
```
Changed4 schema fields changedSep 3, 2026
- removedInput schema / properties / q / description
```
Removed value: -"claimed Eisenstein q, decimal"
```
- removedInput schema / properties / r / description
```
Removed value: -"claimed Eisenstein r, decimal"
```
- removedInput schema / properties / word / description
```
Removed value: -"the cited word"
```
- removedInput schema / properties / word / enum
```
Removed value: -[
-  "Z2_a2b",
-  "Z2_abAB"
-]
```
Changed4 schema fields changedSep 3, 2026
- addedInput schema / properties / q / description
```
Added value: +"claimed Eisenstein q, decimal"
```
- addedInput schema / properties / r / description
```
Added value: +"claimed Eisenstein r, decimal"
```
- addedInput schema / properties / word / description
```
Added value: +"the cited word"
```
- addedInput schema / properties / word / enum
```
Added value: +[
+  "Z2_a2b",
+  "Z2_abAB"
+]
```
Changed4 schema fields changedSep 3, 2026
- removedInput schema / properties / q / description
```
Removed value: -"claimed Eisenstein q, decimal"
```
- removedInput schema / properties / r / description
```
Removed value: -"claimed Eisenstein r, decimal"
```
- removedInput schema / properties / word / description
```
Removed value: -"the cited word"
```
- removedInput schema / properties / word / enum
```
Removed value: -[
-  "Z2_a2b",
-  "Z2_abAB"
-]
```
Changed4 schema fields changedSep 3, 2026
- addedInput schema / properties / q / description
```
Added value: +"claimed Eisenstein q, decimal"
```
- addedInput schema / properties / r / description
```
Added value: +"claimed Eisenstein r, decimal"
```
- addedInput schema / properties / word / description
```
Added value: +"the cited word"
```
- addedInput schema / properties / word / enum
```
Added value: +[
+  "Z2_a2b",
+  "Z2_abAB"
+]
```
Changed4 schema fields changedSep 2, 2026
- removedInput schema / properties / q / description
```
Removed value: -"claimed Eisenstein q, decimal"
```
- removedInput schema / properties / r / description
```
Removed value: -"claimed Eisenstein r, decimal"
```
- removedInput schema / properties / word / description
```
Removed value: -"the cited word"
```
- removedInput schema / properties / word / enum
```
Removed value: -[
-  "Z2_a2b",
-  "Z2_abAB"
-]
```
Changed4 schema fields changedSep 2, 2026
- addedInput schema / properties / q / description
```
Added value: +"claimed Eisenstein q, decimal"
```
- addedInput schema / properties / r / description
```
Added value: +"claimed Eisenstein r, decimal"
```
- addedInput schema / properties / word / description
```
Added value: +"the cited word"
```
- addedInput schema / properties / word / enum
```
Added value: +[
+  "Z2_a2b",
+  "Z2_abAB"
+]
```
First observedSep 1, 2026

TDQS

A4.4/5.0

Behavior4/5

Does the description disclose side effects, auth requirements, rate limits, or destructive behavior?

With no annotations, the description carries behavioral disclosure itself. It states the success condition ('WIN when (q, r) equals the sealed pair'), the failure condition ('MISS naming it'), and an input rejection rule ('Floats refused'). This gives meaningful behavioral expectations beyond the schema.

Agents need to know what a tool does to the world before calling it. Descriptions should go beyond structured annotations to explain consequences.

Conciseness5/5

Is the description appropriately sized, front-loaded, and free of redundancy?

The description is compact, front-loaded with the core purpose, and every sentence adds distinct useful information: allowed words, success/failure conditions, and float rejection. There is no filler or repetition of schema fields.

Shorter descriptions cost fewer tokens and are easier for agents to parse. Every sentence should earn its place.

Completeness4/5

Given the tool's complexity, does the description cover enough for an agent to succeed on first attempt?

For a simple 3-parameter verification tool with no output schema, the description provides the purpose, allowed values, input constraints, and outcome semantics. It does not explicitly state that all three parameters are needed, but the prose strongly implies it and the schema leaves required empty.

Complex tools with many parameters or behaviors need more documentation. Simple tools need less. This dimension scales expectations accordingly.

Parameters4/5

Does the description clarify parameter syntax, constraints, interactions, or defaults beyond what the schema provides?

Schema coverage is 100%, so the baseline is 3. The description adds value by clarifying that q and r are claimed integers, that they must match a sealed pair, and that floats are refused. This goes beyond the schema's simple 'claimed Eisenstein q, decimal' notes.

Input schemas describe structure but not intent. Descriptions should explain non-obvious parameter relationships and valid value ranges.

Purpose5/5

Does the description clearly state what the tool does and how it differs from similar tools?

Description begins with a specific verb and resource: 'certify that the presented Eisenstein pair (q, r) is the sealed pair for a cited word.' It names exactly the two allowed words and explicitly distinguishes this from 'a group scan,' which separates it from sibling verify tools.

Agents choose between tools based on descriptions. A clear purpose with a specific verb and resource helps agents select the right tool.

Usage Guidelines4/5

Does the description explain when to use this tool, when not to, or what alternatives exist?

The description gives clear context for when this tool applies: it is for certifying sealed corpus words Z2_a2b or Z2_abAB, and explicitly says it is 'not a group scan.' It does not name an alternative verbatim, but the scope and exclusion are enough to route an agent appropriately.

Agents often have multiple tools that could apply. Explicit usage guidance like "use X instead of Y when Z" prevents misuse.

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