-
av_fq_isog • Show schema
{'abvar_count': 706, 'abvar_counts': [706, 36712, 223096, 30911504, 675522686, 110859079552, 4623009640976, 243320089205024, 16948865304873256, 986863723375941112], 'abvar_counts_str': '706 36712 223096 30911504 675522686 110859079552 4623009640976 243320089205024 16948865304873256 986863723375941112 ', 'angle_corank': 0, 'angle_rank': 6, 'angles': [0.225737475122664, 0.416267178838625, 0.511096053293152, 0.646402346767367, 0.779765245284979, 0.812119064029986], 'center_dim': 12, 'curve_count': 6, 'curve_counts': [6, 12, 6, 28, 21, 96, 132, 220, 483, 867], 'curve_counts_str': '6 12 6 28 21 96 132 220 483 867 ', 'curves': ['x^{5} + x^{2} y^{3} + x^{4} + x^{3} y + x^{2} y^{2} + y^{4} + x^{2} y + x y^{2} + x y + y', ' x^{8} + x^{4} y^{4} + x^{5} y + x^{4} y^{2} + x^{3} y^{3} + x^{2} y^{4} + x^{4} y + x^{2} y^{3} + x^{4} + x^{2} y^{2} + x^{2} y + x y^{2} + y^{3} + x y'], 'dim1_distinct': 0, 'dim1_factors': 0, 'dim2_distinct': 0, 'dim2_factors': 0, 'dim3_distinct': 0, 'dim3_factors': 0, 'dim4_distinct': 0, 'dim4_factors': 0, 'dim5_distinct': 0, 'dim5_factors': 0, 'g': 6, 'galois_groups': ['12T293'], 'geom_dim1_distinct': 0, 'geom_dim1_factors': 0, 'geom_dim2_distinct': 0, 'geom_dim2_factors': 0, 'geom_dim3_distinct': 0, 'geom_dim3_factors': 0, 'geom_dim4_distinct': 0, 'geom_dim4_factors': 0, 'geom_dim5_distinct': 0, 'geom_dim5_factors': 0, 'geometric_center_dim': 12, 'geometric_extension_degree': 1, 'geometric_galois_groups': ['12T293'], 'geometric_number_fields': ['12.0.782394669817139369.1'], 'geometric_splitting_field': '12.0.782394669817139369.1', 'geometric_splitting_polynomials': [[64, -96, 128, -112, 100, -68, 53, -34, 25, -14, 8, -3, 1]], 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 0, 'is_geometrically_simple': True, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 2, 'label': '6.2.d_i_o_z_bi_cb', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 12, 'newton_elevation': 0, 'number_fields': ['12.0.782394669817139369.1'], 'p': 2, 'p_rank': 6, 'p_rank_deficit': 0, 'poly': [1, 3, 8, 14, 25, 34, 53, 68, 100, 112, 128, 96, 64], 'poly_str': '1 3 8 14 25 34 53 68 100 112 128 96 64 ', 'primitive_models': [], 'q': 2, 'real_poly': [1, 3, -4, -16, -3, 10, 1], 'simple_distinct': ['6.2.d_i_o_z_bi_cb'], 'simple_factors': ['6.2.d_i_o_z_bi_cbA'], 'simple_multiplicities': [1], 'slopes': ['0A', '0B', '0C', '0D', '0E', '0F', '1A', '1B', '1C', '1D', '1E', '1F'], 'splitting_field': '12.0.782394669817139369.1', 'splitting_polynomials': [[64, -96, 128, -112, 100, -68, 53, -34, 25, -14, 8, -3, 1]], 'twist_count': 2, 'twists': [['6.2.ad_i_ao_z_abi_cb', '6.4.h_be_ec_mb_bdu_cll', 2]]} -
av_fq_endalg_factors • Show schema
{'base_label': '6.2.d_i_o_z_bi_cb', 'extension_degree': 1, 'extension_label': '6.2.d_i_o_z_bi_cb', 'multiplicity': 1} -
av_fq_endalg_data • Show schema
{'brauer_invariants': ['0', '0', '0', '0', '0', '0'], 'center': '12.0.782394669817139369.1', 'center_dim': 12, 'divalg_dim': 1, 'extension_label': '6.2.d_i_o_z_bi_cb', 'galois_group': '12T293', 'places': [['1', '1', '0', '0', '0', '0', '0', '0', '0', '0', '0', '0'], ['1', '1', '1', '0', '0', '0', '0', '0', '0', '0', '0', '0'], ['1', '0', '1', '1', '0', '0', '0', '0', '0', '0', '0', '0'], ['0', '0', '1/2', '0', '11/16', '39/32', '7/8', '23/32', '5/16', '3/16', '1/32', '3/32'], ['0', '0', '5/4', '7/8', '3/16', '1/16', '25/16', '3/16', '0', '25/16', '3/2', '5/16'], ['0', '0', '1/4', '1/8', '7/8', '5/32', '3/16', '1/32', '13/16', '0', '5/32', '1/32']]}
Abelian variety isogeny class data - 6.2.d_i_o_z_bi_cb