Error in number field search return

[jenpaulhus]

From the bugreport:

I was using the LMFDB to search for totally real biquadratic fields (i.e. "signature = [4,0]" and "field_is=multi_quad" ). However, this search also seems to erroneously return degree 2 fields, which I assume shouldn't be in the search results?

Here's the search:
https://www.lmfdb.org/NumberField/?signature=%5B4%2C0%5D&field_is=multi_quad

[AndrewVSutherland]

It does the right thing if you also specify the degree, but this certainly looks like a bug.

[roed314]

We need to account for signature as a constraint on degree in addition to info["degree"] on line 914 of number_field.py.

[roed314]

Note that we use integer_options there rather than directly accessing query["degree"] since we could have a complicated degree input like 2,3,6-8,12-20.