-
av_fq_isog • Show schema
{'abvar_count': 60, 'abvar_counts': [60, 720, 91260, 748800, 25491300, 1251722160, 48913421820, 1072353484800, 44005970532420, 1148255914395600], 'abvar_counts_str': '60 720 91260 748800 25491300 1251722160 48913421820 1072353484800 44005970532420 1148255914395600 ', 'angle_corank': 0, 'angle_rank': 5, 'angles': [0.12811090720544, 0.355275543655217, 0.48300065507736, 0.782684104099944, 0.955695839449801], 'center_dim': 10, 'cohen_macaulay_max': 1, 'curve_count': 4, 'curve_counts': [4, 4, 16, 12, 24, 76, 172, 252, 628, 1044], 'curve_counts_str': '4 4 16 12 24 76 172 252 628 1044 ', 'curves': ['y^2 + (x^4 + x^3 + x^2 + x + 1)*x*y = x^{12} + x', 'x^4*y + x^3*y^2 + x^3*y*z + x^3*z^2 + x^2*y^3 + x^2*y*z^2 + x*y^2*z^2 + y^5 + y^4*z + y^3*z^2 + y^2*z^3', 'x^4*y + x^4*z + x^3*y*z + x^2*y^3 + x^2*y*z^2 + x*y^4 + x*y^2*z^2 + x*y*z^3 + y^4*z', 'x^4*z + x^3*y^2 + x^3*z^2 + x^2*y^3 + x^2*y^2*z + x^2*y*z^2 + x*y^3*z + y^5 + y^4*z + y^3*z^2 + y^2*z^3'], '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': 1, 'dim5_factors': 1, 'endomorphism_ring_count': 9, 'g': 5, 'galois_groups': ['10T39'], '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': 1, 'geom_dim5_factors': 1, 'geometric_center_dim': 10, 'geometric_extension_degree': 1, 'geometric_galois_groups': ['10T39'], 'geometric_number_fields': ['10.0.111140444342016.1'], 'geometric_splitting_field': '10.0.111140444342016.1', 'geometric_splitting_polynomials': [[32, -16, 0, -8, 2, 3, 1, -2, 0, -1, 1]], 'group_structure_count': 2, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 1, 'is_cyclic': False, 'is_geometrically_simple': True, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 4, 'label': '5.2.b_a_c_b_ad', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 9, 'newton_elevation': 0, 'noncyclic_primes': [2], 'number_fields': ['10.0.111140444342016.1'], 'p': 2, 'p_rank': 5, 'p_rank_deficit': 0, 'poly': [1, 1, 0, 2, 1, -3, 2, 8, 0, 16, 32], 'poly_str': '1 1 0 2 1 -3 2 8 0 16 32 ', 'primitive_models': [], 'q': 2, 'real_poly': [1, 1, -10, -6, 21, -3], 'simple_distinct': ['5.2.b_a_c_b_ad'], 'simple_factors': ['5.2.b_a_c_b_adA'], 'simple_multiplicities': [1], 'singular_primes': ['2,-F^4+6*F^2-3*V^4-5*V^3-4*V^2+6*V+6', '2,4*F^3-7*F^2-11*F+3*V^4+V^3-10*V^2-21*V-20'], 'slopes': ['0A', '0B', '0C', '0D', '0E', '1A', '1B', '1C', '1D', '1E'], 'splitting_field': '10.0.111140444342016.1', 'splitting_polynomials': [[32, -16, 0, -8, 2, 3, 1, -2, 0, -1, 1]], 'twist_count': 2, 'twists': [['5.2.ab_a_ac_b_d', '5.4.ab_ac_g_ad_af', 2]], 'weak_equivalence_count': 9, 'zfv_index': 16, 'zfv_index_factorization': [[2, 4]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_plus_index': 4, 'zfv_plus_index_factorization': [[2, 2]], 'zfv_plus_norm': 31, 'zfv_singular_count': 4, 'zfv_singular_primes': ['2,-F^4+6*F^2-3*V^4-5*V^3-4*V^2+6*V+6', '2,4*F^3-7*F^2-11*F+3*V^4+V^3-10*V^2-21*V-20']} -
av_fq_endalg_factors • Show schema
{'base_label': '5.2.b_a_c_b_ad', 'extension_degree': 1, 'extension_label': '5.2.b_a_c_b_ad', 'multiplicity': 1} -
av_fq_endalg_data • Show schema
{'brauer_invariants': ['0', '0'], 'center': '10.0.111140444342016.1', 'center_dim': 10, 'divalg_dim': 1, 'extension_label': '5.2.b_a_c_b_ad', 'galois_group': '10T39', 'places': [['1/2', '0', '3/2', '1/2', '3/32', '55/32', '31/16', '1/16', '63/32', '3/32'], ['0', '1/4', '1/8', '25/16', '47/32', '1/32', '1/16', '0', '3/32', '57/32']]}
Abelian variety isogeny class data - 5.2.b_a_c_b_ad