Fix vertical scaling of Eisenstein diagrams for p-adic families - #7155
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roed-math wants to merge 2 commits into
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Fix vertical scaling of Eisenstein diagrams for p-adic families#7155roed-math wants to merge 2 commits into
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…B#6828) The aspect ratio of the family Eisenstein diagram was capped at a fixed value of 8 in data coordinates, so families with large e and small slopes (e.g. 2.1.16.16a, 2.1.32.34a) rendered as vertically compressed slivers with overlapping y-axis labels. Since the image is displayed at a fixed width, what matters is the physical height:width ratio aspect*maxslope/xwidth; replace the fixed cap by clamping that ratio to [1/4, 5/4]. A survey over all 489714 stored families with w>0 shows no diagram shrinks, ~2.5% (the compressed ones) grow by >5%, and typical families are byte-identical. Verified by rendering all nine pages named in the issue plus controls via the test client and measuring the embedded PNGs; added a regression test doing the same. Co-Authored-By: Claude Fable 5 <noreply@anthropic.com>
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Closes #6828.
The Eisenstein diagram on p-adic family pages capped its matplotlib aspect ratio at a fixed value of 8 in data coordinates. Since the image is displayed at a fixed width, families with large$e$ and small slopes (all nine examples in the issue) rendered as vertically compressed slivers with overlapping y-axis labels.
This keeps the two existing aspect terms (default shape and minimum label separation) but clamps the physical height:width ratio of the image to$[1/4, 5/4]$ instead of capping the raw aspect.
A survey over all 489,714 stored families with$w>0$ shows no diagram gets shorter, about 2.5% (exactly the compressed ones) grow by more than 5%, and typical families are byte-identical; the nine pages named in the issue now render with height:width 0.40 to 1.17 instead of 0.06 to 0.25. Also adds a regression test that measures the embedded PNG on three family pages.
Ported from roed-math#19, where the full write-up and comment history live.
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