Use vector implementation of `calc_alan_entries()`

[smokestacklightnin]

:pencil: Use vector implementation of calc_alan_entries()

Type: :rocket: feature

This reimplements calc_alan_entries() using the vector implementations as well as adding corrections to the formulas.

:pushpin: Resources

@smithis7 , What text did you use for the corrections?

:vertical_traffic_light: Testing

How did you test these changes?

• [X] Testing pipeline

:ballot_box_with_check: Checklist

• [ ] I requested two reviewers for this pull request
• [ ] I updated the documentation according to my changes
• [ ] I built the documentation by applying the build_docs label

[codecov[bot]]

Codecov Report

Merging #145 (2ea589e) into main (afcc0ca) will increase coverage by 0.20%. The diff coverage is 28.57%.

:exclamation: Current head 2ea589e differs from pull request most recent head 8e5376a. Consider uploading reports for the commit 8e5376a to get more accurate results

@@            Coverage Diff             @@
##             main     #145      +/-   ##
==========================================
+ Coverage   68.19%   68.39%   +0.20%     
==========================================
  Files          27       27              
  Lines         984      984              
==========================================
+ Hits          671      673       +2     
+ Misses        313      311       -2     

Files	Coverage Δ
...adiation_field/opacities/opacities_solvers/base.py	82.41% <28.57%> (+1.09%)	:arrow_up:

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