E107: Conductor: primitive vs. induced characters

E107 hero

E107: Conductor: primitive vs. induced characters

Tags: number-theory, dirichlet-characters, quantitative-exploration, visualization, l-functions

Highlights

  • Focused numeric experiment with a small set of figures.

  • Parameters saved to params.json for reproducibility.

  • Defaults are chosen, so the experiment remains feasible for the CI “slow” suite.

What is computed

  • Compute conductors and separate primitive from imprimitive characters.

Notes

  • This page summarizes the intent; see the generated report.md in out/ for concrete outputs.

Published run snapshot

If this experiment is included in the docs gallery, include the published snapshot (report + params).

Artifacts

  • figures/fig_01_conductor_hist.png

  • params.json

  • report.md

Notes

  • Total characters: 16

  • Non-principal characters: 15

  • Conductors observed: [1, 3, 4, 5, 12, 15, 20, 60]

params.json (snapshot)
{
  "q": 60
}

References

  • See docs/background/dirichlet-characters.md.

  • See docs/background/dirichlet-l-functions.md and docs/background/dirichlet-convolution.md.