E108: Orthogonality heatmap for characters

E108 hero

E108: Orthogonality heatmap for characters

Tags: number-theory, dirichlet-characters, model-checking, visualization, multiplicative

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

  • Visualize orthogonality relations via inner-product matrices.

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_orthogonality_abs.png

  • params.json

  • report.md

Notes

  • Mean diagonal magnitude: 1.000000

  • Mean off-diagonal magnitude: 0.000000

  • For a correctly normalized inner product, diagonal entries dominate and off-diagonals are ~0.

params.json (snapshot)
{
  "q": 15
}

References

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