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Add relative class number #6181

Merged
merged 6 commits into from
Sep 27, 2024
Merged

Add relative class number #6181

merged 6 commits into from
Sep 27, 2024

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jwj61
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@jwj61 jwj61 commented Sep 2, 2024

Relative class numbers for CM fields has been computed in cases where we had both class numbers already. They are shown on the page of a CM number field (it is in the class number/class group section).

http://127.0.0.1:37777/NumberField/6.0.399424.1
http://beta.lmfdb.org/NumberField/6.0.399424.1

Here is a case where it has been computed, but the computation assumed GRH

http://127.0.0.1:37777/NumberField/42.0.2281836760183646137444154412268560109828024514076489472840222217265158917203.1

and a case where it has not been computed

http://127.0.0.1:37777/NumberField/42.0.2654972529667057457433107680535256579009544347022866599647016024950419363310098668524052547.1

If the field is not CM, we don't do anything new since it is not relevant.

It is also now a search criterion

http://127.0.0.1:37777/NumberField/

A possible future improvement is if relative_class_number is part of the search, automatically turn is_cm to true (and give a flash error if the user has set it to false).

The database nf_fields should be copied to the cloud before this goes to production.

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Doesn't this cause a problem if it is a message that the value has not been computed?

@roed314
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roed314 commented Sep 5, 2024

You're right; I'll fix it.

@roed314
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roed314 commented Sep 5, 2024

This looks good to me, though we perhaps want to wait to merge it until we push nf_fields to prod.

@AndrewVSutherland AndrewVSutherland merged commit 9c592ae into LMFDB:main Sep 27, 2024
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3 participants