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alexjbest / cluster-pictures

This package implements the machinery of cluster pictures of Maistret, Morgan, Dokchitser and Dokchitser in Sage.
https://alexjbest.github.io/cluster-pictures/
GNU General Public License v2.0
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Implement fallback for lambda and nu #23

Open alexjbest opened 4 years ago

alexjbest commented 4 years ago

Currently we use a formula involving roots for lambda and nu of clusters. However sometimes it is nice to compute these for a cluster picture (+ leading coeff) without roots, which just comes from the depths alone (as in the definition). We should fall back to the definition when we don't have root information so we can do example 12.6 in generality

(s=(****)_1/4 *)_0

leading coeff 1 should have $\lambda_R = 0$, $\lambda_s = 1/2$.

rbommel commented 4 years ago

Would suggest to manually set a leading coefficient.