npx skills add parcadei/Continuous-Claude-v3 --skill fields --agent claude-code
Same command for any agent — swap --agent for codex, cursor, copilot.
Weekly change comes from our own snapshots, not the repository page — it measures attention, not adoption.
# Fields ## When to Use Use this skill when working on fields problems in abstract algebra. ## Decision Tree 1. **Is F a field?** - (F, +) is an abelian group with identity 0 - (F \ {0}, *) is an abelian group with identity 1 - Distributive law holds - `z3_solve.py prove "field_axioms"` 2. **Field Extensions** - E is extension of F if F is subfield of E - Degree [E:F] = dimension of E as F-vector space - `sympy_compute.py minpoly "alpha" --var x` for minimal polynomial 3. **Characteristic** - char(F) = smallest n > 0 where n*1 = 0, or 0 if none exists - char(F) is 0 or prime - For finite field: |F| = p^n where p = char(F) 4. **Algebraic Elements** - alpha is algebraic over F if it satisfies polynomial with coefficients in F - `sympy_compute.py solve "p(alpha) = 0"` for algebraic relations ## Tool Commands ### Z3_Field_Axioms ```bash uv run python -m runtime.harness scripts/z3_solve.py prove "field_axioms" ``` ### Sympy_Minpoly ```bash uv run python -m runtime.harness scripts/sympy_compute.py minpoly "sqrt(2)" --var x ``` ### Sympy_Solve ```bash uv run python -m runtime.harness scripts/sympy_compute.py solve "x**2 - 2" --var x ``` ## Key Techniques *From indexed textbooks:* - [Abstr
- When to Use
- Decision Tree
- Tool Commands
- Z3FieldAxioms
- SympyMinpoly
- SympySolve
- Key Techniques
- Cognitive Tools Reference
uv run python -m runtime.harness scripts/z3_solve.py prove "field_axioms" uv run python -m runtime.harness scripts/sympy_compute.py minpoly "sqrt(2)" --var x uv run python -m runtime.harness scripts/sympy_compute.py solve "x**2 - 2" --var x
What does the fields skill do?
Problem-solving strategies for fields in abstract algebra
How do I install it?
Run `npx skills add parcadei/Continuous-Claude-v3 --skill fields --agent claude-code` — it drops the skill into your project so the agent can pick it up. Swap the --agent value for codex, cursor or copilot if you use one of those.
Where does this skill come from?
From parcadei/Continuous-Claude-v3, a repository with 3,879 stars. We read it straight from the repository tree rather than a submitted listing, so what you see here is what is actually published.
Is a popular skill a good skill?
Not necessarily. Stars measure attention, not adoption — a repository can trend for a week and be abandoned. That is why we show the weekly change from our own snapshots next to the total, instead of a single flattering number.