The data files (plain text files) have the data format as follows:
\nLine 1 is N:dim, where N = level; dim = dimension of the cohomology \\(H^3(\\Gamma_0(N),\\mathbb{Q})\\)
\nEach following line is p:k:L, where L = list of entries in the matrix of the Hecke operator \\(T(p,k)\\).<\/p>\n
6-ho<\/a> 97-ho<\/a> 121-ho<\/a> 83-ho<\/a> 89-ho<\/a> 73-ho<\/a> 79-ho<\/a> 67-ho<\/a> 71-ho<\/a> 59-ho<\/a> 61-ho<\/a> 50-ho<\/a> 53-ho<\/a> 48-ho<\/a> 49-ho<\/a> 46-ho<\/a> 47-ho<\/a> 44-ho<\/a> 45-ho<\/a> 42-ho<\/a> 43-ho<\/a> 40-ho<\/a> 41-ho<\/a> 38-ho<\/a> 39-ho<\/a> 36-ho<\/a> 37-ho<\/a> 35-ho<\/a> 33-ho<\/a> 34-ho<\/a> 31-ho<\/a> 32-ho<\/a> 29-ho<\/a> 30-ho<\/a> 27-ho<\/a> 28-ho<\/a> 25-ho<\/a> 26-ho<\/a> 23-ho<\/a> 24-ho<\/a> 21-ho<\/a> 22-ho<\/a> 19-ho<\/a> 20-ho<\/a> 17-ho<\/a> 18-ho<\/a> 15-ho<\/a> 16-ho<\/a> 12-ho<\/a> 14-ho<\/a> 10-ho<\/a> 11-ho<\/a> 8-ho<\/a> 9-ho<\/a> 4-ho<\/a> 169-ho<\/a><\/p>\n The data file (plain text file) has the data format as follows: data.txt<\/a><\/p>\n The code files (plain text files) compute the image of \\(\\psi\\).\u00a0 The gl3.txt file is a data file that gets loaded in by all_gl3.mag.\u00a0 (Note: The server would not allow .mag extension, so there is an additional .txt on the file name.)<\/p>\n gl3.txt<\/a>\u00a0 \u00a0 all_gl3.mag<\/a><\/p>\n","protected":false},"excerpt":{"rendered":" Hecke Operator Matrix Data The data files (plain text files) have the data format as follows: Line 1 is N:dim, where N…<\/p>\n","protected":false},"author":9,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_acf_changed":false,"footnotes":""},"class_list":["post-136","page","type-page","status-publish","hentry"],"acf":[],"_links":{"self":[{"href":"https:\/\/math-sites.uncg.edu\/yasaki\/wp-json\/wp\/v2\/pages\/136","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/math-sites.uncg.edu\/yasaki\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/math-sites.uncg.edu\/yasaki\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/math-sites.uncg.edu\/yasaki\/wp-json\/wp\/v2\/users\/9"}],"replies":[{"embeddable":true,"href":"https:\/\/math-sites.uncg.edu\/yasaki\/wp-json\/wp\/v2\/comments?post=136"}],"version-history":[{"count":11,"href":"https:\/\/math-sites.uncg.edu\/yasaki\/wp-json\/wp\/v2\/pages\/136\/revisions"}],"predecessor-version":[{"id":218,"href":"https:\/\/math-sites.uncg.edu\/yasaki\/wp-json\/wp\/v2\/pages\/136\/revisions\/218"}],"wp:attachment":[{"href":"https:\/\/math-sites.uncg.edu\/yasaki\/wp-json\/wp\/v2\/media?parent=136"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}Data<\/h3>\n
\nEach line is N:sqfree:dim:dimP:B, where N = level, sqfree = d squarefree defining real quadratic field \\(\\mathbb{Q}(\\sqrt{d})\\), dim = dimension of the cohomology \\(H^3(\\Gamma_0(N),\\mathbb{Q})\\), dimP = dimension of image of \\(\\psi\\) found, B = list of entries of the echelon form of a matrix whose rows form a basis for the image.<\/p>\nCode<\/h3>\n