LMFDB/lmfdb

AI Summary: Add a search filter for the Manin constant to the existing advanced search functionality of the L-functions and modular forms database (LMFDB). The search should consider the Manin constant's value (an integer, often 1) and account for the fact that this data is not available for elliptic curves with conductors above 500000.

AI Summary: The task involves modifying the L-functions and modular forms database (LMFDB) website to link the component group name on Sato-Tate group pages to the corresponding abstract group knowledge page. This requires using the existing `abstract_group_display_knowl` function to create hyperlinks from the group name (e.g., "C_2 x A_4") to the relevant abstract group knowledge page, based on data in the `gps_st` table.

AI Summary: The task is to improve the L-functions and modular forms database (LMFDB) by adding a clarification to the group name 'GL' on the abstract group pages. Currently, the meaning of 'GL' is not explicitly defined, making it inaccessible to users unfamiliar with the terminology. The solution involves either adding a brief explanation of 'GL' within the existing knowl or creating a separate knowl for Lie type groups, linking it appropriately.

AI Summary: Improve the downloaded data comments for subgroup searches in the LMFDB database. The current comments are unclear about the data format. The task requires modifying the code to provide more descriptive comments explaining each downloaded data entry, likely requiring an exception for the 'ColGroup' option.

AI Summary: Enhance the L-functions and Modular Forms Database (LMFDB) search functionality to include newly computed boolean attributes (metabelian, metacyclic, etc.) for subgroups in the search results. This involves modifying the database queries and the display of search results to incorporate these new boolean flags.

AI Summary: Enhance the L-functions and Modular Forms Database (LMFDB) by adding a link to the corresponding abstract group on each Galois group page. This involves modifying the existing database structure and potentially the website's front-end to display this new relationship, adhering to the LMFDB's established style guidelines.

AI Summary: Enhance the navigation on Galois group home pages within the LMFDB website. The current navigation path (e.g., home -> Galois groups -> 9T32) needs to be modified to include an intermediate level based on the group degree (e.g., home -> Galois groups -> 9 -> 32). This involves updating the website's structure and potentially modifying the database queries to support this hierarchical navigation.