Table belyi_galmaps
Belyi maps
{'BelyiDB_label': '6T15-[4,3,3]-42-3111-33-g0-a', 'BelyiDB_plabel': '6T15-[4,3,3]-42-3111-33-g0', 'a_s': 3, 'abc': [4, 3, 3], 'aut_group': [[1, 2, 3, 4, 5, 6]], 'b_s': 3, 'base_field': [-1, 1], 'base_field_label': '1.1.1.1', 'c_s': 4, 'curve': 'PP1', 'deg': 6, 'embeddings': [[1.0, 0.0]], 'friends': [], 'g': 0, 'geomtype': 'H', 'group': '6T15', 'group_num': 15, 'id': 64, 'is_primitive': True, 'label': '6T15-4.2_3.1.1.1_3.3-a', 'lambdas': [[4, 2], [3, 1, 1, 1], [3, 3]], 'map': '(6561/686*x^6+4374/343*x^5+1458/343*x^4)/(x^6-24/7*x^5+24/49*x^4+2176/343*x^3-192/343*x^2-1536/343*x-512/343)', 'orbit_size': 1, 'pass_size': 1, 'plabel': '6T15-4.2_3.1.1.1_3.3', 'plane_constant': '-1', 'plane_map_constant_factored': '1', 'plane_model': '(-1)*(4*x^3 + 9*x^2 - 6*x + 1)*t - x^4*(x + 3)^2', 'primitivization': '6T15-4.2_3.1.1.1_3.3-a', 'triples': [[[3, 1, 4, 2, 6, 5], [1, 2, 4, 5, 3, 6], [2, 3, 1, 5, 6, 4]]], 'triples_cyc': [['(1,3,4,2)(5,6)', '(3,4,5)', '(1,2,3)(4,5,6)']]}