{"id":20600426,"url":"https://github.com/davidayotte/sym2-dihedral","last_synced_at":"2026-01-31T16:34:26.328Z","repository":{"id":51384632,"uuid":"190268675","full_name":"DavidAyotte/sym2-dihedral","owner":"DavidAyotte","description":"This repo contains functions about dihedral congruence for modular forms and computations on the trace of the symmetric square L function","archived":false,"fork":false,"pushed_at":"2021-05-12T16:01:21.000Z","size":16,"stargazers_count":1,"open_issues_count":0,"forks_count":1,"subscribers_count":1,"default_branch":"master","last_synced_at":"2025-06-11T10:57:24.430Z","etag":null,"topics":["bernoulli-number","dihedral-congruence","modular-forms","symmetric-square-l-function"],"latest_commit_sha":null,"homepage":"","language":"Gnuplot","has_issues":true,"has_wiki":null,"has_pages":null,"mirror_url":null,"source_name":null,"license":"mit","status":null,"scm":"git","pull_requests_enabled":true,"icon_url":"https://github.com/DavidAyotte.png","metadata":{"files":{"readme":"README.md","changelog":null,"contributing":null,"funding":null,"license":"LICENSE","code_of_conduct":null,"threat_model":null,"audit":null,"citation":null,"codeowners":null,"security":null,"support":null}},"created_at":"2019-06-04T19:45:01.000Z","updated_at":"2021-05-12T16:01:24.000Z","dependencies_parsed_at":"2022-09-12T15:24:15.683Z","dependency_job_id":null,"html_url":"https://github.com/DavidAyotte/sym2-dihedral","commit_stats":null,"previous_names":[],"tags_count":0,"template":false,"template_full_name":null,"purl":"pkg:github/DavidAyotte/sym2-dihedral","repository_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/DavidAyotte%2Fsym2-dihedral","tags_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/DavidAyotte%2Fsym2-dihedral/tags","releases_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/DavidAyotte%2Fsym2-dihedral/releases","manifests_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/DavidAyotte%2Fsym2-dihedral/manifests","owner_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/owners/DavidAyotte","download_url":"https://codeload.github.com/DavidAyotte/sym2-dihedral/tar.gz/refs/heads/master","sbom_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/DavidAyotte%2Fsym2-dihedral/sbom","scorecard":null,"host":{"name":"GitHub","url":"https://github.com","kind":"github","repositories_count":286080680,"owners_count":28947674,"icon_url":"https://github.com/github.png","version":null,"created_at":"2022-05-30T11:31:42.601Z","updated_at":"2026-01-31T14:26:55.697Z","status":"ssl_error","status_checked_at":"2026-01-31T14:26:52.545Z","response_time":128,"last_error":"SSL_connect returned=1 errno=0 peeraddr=140.82.121.6:443 state=error: unexpected eof while reading","robots_txt_status":"success","robots_txt_updated_at":"2025-07-24T06:49:26.215Z","robots_txt_url":"https://github.com/robots.txt","online":false,"can_crawl_api":true,"host_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub","repositories_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories","repository_names_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repository_names","owners_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/owners"}},"keywords":["bernoulli-number","dihedral-congruence","modular-forms","symmetric-square-l-function"],"created_at":"2024-11-16T08:38:14.141Z","updated_at":"2026-01-31T16:34:26.310Z","avatar_url":"https://github.com/DavidAyotte.png","language":"Gnuplot","funding_links":[],"categories":[],"sub_categories":[],"readme":"# Sym2-Dihedral\r\n\r\nThis repo contains multiple functions written in PARI/GP about modulars forms, Bernoulli numbers and L-functions. More precisely, on the trace of the symmetric-square L-function and dihedral congruences of modular forms. This code was written as part of my master thesis.\r\n\r\n## Files\r\n\r\n* `trace.gp`: functions about the trace of the Symmetric square L-function as defined by Dummigan and Heim\r\n* `dihedral.gp`: functions about dihedral congruences on modular forms\r\n* `misc.gp`: miscellaneous functions about p-valuation of Bernoulli numbers and modular forms\r\n\r\nIn a gp session, after reading a file, you can type `? name_of_file` to obtain more information about the file.\r\n\r\n## References\r\n\r\n* Ayotte, D, Relations entre le nombre de classes et les formes modulaires, master thesis (2019)\r\n* Dummigan, Neil; Heim, Bernhard, Symmetric square L-values and dihedral congruences for cusp forms. J. Number Theory 130 (2010)\r\n* Brown, Alexander F.; Ghate, Eknath P. Dihedral congruence primes and class fields of real quadratic fields. J. Number Theory 95 (2002)\r\n","project_url":"https://awesome.ecosyste.ms/api/v1/projects/github.com%2Fdavidayotte%2Fsym2-dihedral","html_url":"https://awesome.ecosyste.ms/projects/github.com%2Fdavidayotte%2Fsym2-dihedral","lists_url":"https://awesome.ecosyste.ms/api/v1/projects/github.com%2Fdavidayotte%2Fsym2-dihedral/lists"}