-
av_fq_isog • Show schema
{'abvar_count': 117, 'abvar_counts': [117, 4329, 492804, 41251041, 2764026837, 326529959184, 23793926594373, 1871941261048209, 150040225471468644, 12306052570787075529], 'abvar_counts_str': '117 4329 492804 41251041 2764026837 326529959184 23793926594373 1871941261048209 150040225471468644 12306052570787075529 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 2, 'angle_rank': 2, 'angles': [0.098888866434371, 0.455899292071192, 0.765555533101038, 0.877434041262142], 'center_dim': 8, 'cohen_macaulay_max': 1, 'curve_count': 6, 'curve_counts': [6, 6, 24, 78, 186, 834, 2274, 6630, 19680, 59766], 'curve_counts_str': '6 6 24 78 186 834 2274 6630 19680 59766 ', 'curves': [], 'dim1_distinct': 0, 'dim1_factors': 0, 'dim2_distinct': 0, 'dim2_factors': 0, 'dim3_distinct': 0, 'dim3_factors': 0, 'dim4_distinct': 1, 'dim4_factors': 1, 'dim5_distinct': 0, 'dim5_factors': 0, 'endomorphism_ring_count': 18, 'g': 4, 'galois_groups': ['8T9'], 'geom_dim1_distinct': 0, 'geom_dim1_factors': 0, 'geom_dim2_distinct': 1, 'geom_dim2_factors': 2, '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': 4, 'geometric_extension_degree': 3, 'geometric_galois_groups': ['4T3'], 'geometric_number_fields': ['4.0.7488.1'], 'geometric_splitting_field': '4.0.7488.1', 'geometric_splitting_polynomials': [[6, 0, 4, -2, 1]], 'group_structure_count': 2, 'has_geom_ss_factor': False, 'has_jacobian': -1, 'has_principal_polarization': 1, 'hyp_count': 0, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 0, 'label': '4.3.c_a_ae_af', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 12, 'newton_coelevation': 6, 'newton_elevation': 0, 'number_fields': ['8.0.56070144.2'], 'p': 3, 'p_rank': 4, 'p_rank_deficit': 0, 'pic_prime_gens': [[1, 13, 1, 12]], 'poly': [1, 2, 0, -4, -5, -12, 0, 54, 81], 'poly_str': '1 2 0 -4 -5 -12 0 54 81 ', 'primitive_models': [], 'principal_polarization_count': 5, 'q': 3, 'real_poly': [1, 2, -12, -22, 13], 'simple_distinct': ['4.3.c_a_ae_af'], 'simple_factors': ['4.3.c_a_ae_afA'], 'simple_multiplicities': [1], 'singular_primes': ['3,5*F^4+8*F^2-2*F-2*V^3-V-12', '3,2*F^4+6*F^2+2*F-V^2-11*V-19', '11,-25*F^2+12*F+12*V^3+2*V^2+3*V+45'], 'size': 42, 'slopes': ['0A', '0B', '0C', '0D', '1A', '1B', '1C', '1D'], 'splitting_field': '8.0.56070144.2', 'splitting_polynomials': [[13, -38, 70, -74, 63, -34, 16, -4, 1]], 'twist_count': 8, 'twists': [['4.3.ac_a_e_af', '4.9.ae_g_bg_aev', 2], ['4.3.ae_m_abc_cg', '4.27.ae_ci_aim_dqo', 3], ['4.3.ag_u_abw_dn', '4.81.ae_bq_bcy_akqf', 4], ['4.3.g_u_bw_dn', '4.81.ae_bq_bcy_akqf', 4], ['4.3.a_e_a_k', '4.729.ea_jzw_qhwa_tyiig', 6], ['4.3.e_m_bc_cg', '4.729.ea_jzw_qhwa_tyiig', 6], ['4.3.a_ae_a_k', '4.531441.dzs_jiurc_pipdofw_tdrihzlis', 12], ['4.3.g_u_bw_dn', '4.531441.dzs_jiurc_pipdofw_tdrihzlis', 12]], 'weak_equivalence_count': 18, 'zfv_index': 891, 'zfv_index_factorization': [[3, 4], [11, 1]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_pic_size': 12, 'zfv_plus_index': 9, 'zfv_plus_index_factorization': [[3, 2]], 'zfv_plus_norm': 121, 'zfv_singular_count': 6, 'zfv_singular_primes': ['3,5*F^4+8*F^2-2*F-2*V^3-V-12', '3,2*F^4+6*F^2+2*F-V^2-11*V-19', '11,-25*F^2+12*F+12*V^3+2*V^2+3*V+45']} - av_fq_endalg_factors • Show schema
-
av_fq_endalg_data • Show schema
{'brauer_invariants': ['0', '0'], 'center': '8.0.56070144.2', 'center_dim': 8, 'divalg_dim': 1, 'extension_label': '4.3.c_a_ae_af', 'galois_group': '8T9', 'places': [['2', '1', '1', '0', '0', '0', '0', '0'], ['1', '0', '1', '0', '0', '0', '0', '0']]} -
av_fq_endalg_data • Show schema
{'brauer_invariants': ['0', '0'], 'center': '4.0.7488.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.27.ac_bc', 'galois_group': '4T3', 'places': [['0', '1', '8/3', '1/3'], ['0', '1', '0', '0']]}
Abelian variety isogeny class data - 4.3.c_a_ae_af