# Data for embedded Belyi map with label 4T5-4_4_3.1-a, downloaded from the LMFDB on 17 August 2026.
{"BelyiDB_label": "4T5-[4,4,3]-4-4-31-g1-a", "BelyiDB_plabel": "4T5-[4,4,3]-4-4-31-g1", "a_s": 3, "abc": [4, 4, 3], "aut_group": [[1, 2, 3, 4]], "b_s": 4, "base_field": [-1, 1], "base_field_label": "1.1.1.1", "c_s": 4, "curve": "y^2=x^3+47/768*x+2359/55296", "curve_label": "48.a6", "deg": 4, "embeddings": [[1.0, 0.0]], "friends": ["EllipticCurve/Q/48/a/6"], "g": 1, "geomtype": "H", "group": "4T5", "group_num": 5, "is_primitive": true, "label": "4T5-4_4_3.1-a", "lambdas": [[4], [4], [3, 1]], "map": "27/64/(x^4-13/12*x^3-155/384*x^2-1225/27648*x-8375/5308416)*y+(-27/64*x^2+9/512*x+1401/16384)/(x^4-13/12*x^3-155/384*x^2-1225/27648*x-8375/5308416)", "orbit_size": 1, "pass_size": 1, "plabel": "4T5-4_4_3.1", "plane_constant": "-27/4", "plane_map_constant_factored": "-\\frac{2^{2}}{3^{3}}", "plane_model": "t^2 + (2*x^2 - 4*x + 9)*t + x^4", "primitivization": "4T5-4_4_3.1-a", "triples": [[[2, 3, 4, 1], [3, 1, 4, 2], [3, 2, 4, 1]]], "triples_cyc": [["(1,2,3,4)", "(1,3,4,2)", "(1,3,4)"]]}