{'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, 'id': 12, '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)']]}