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av_fq_isog • Show schema
{'abvar_count': 264, 'abvar_counts': [264, 69696, 24142536, 6959563776, 2015996558664, 582862044511296, 168377826405140616, 48663388413005414400, 14063084451830590788744, 4064242124545090793464896], 'abvar_counts_str': '264 69696 24142536 6959563776 2015996558664 582862044511296 168377826405140616 48663388413005414400 14063084451830590788744 4064242124545090793464896 ', 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.111442130273348, 0.888557869726652], 'center_dim': 4, 'cohen_macaulay_max': 2, 'curve_count': 18, 'curve_counts': [18, 238, 4914, 83326, 1419858, 24147502, 410338674, 6976072318, 118587876498, 2015999216878], 'curve_counts_str': '18 238 4914 83326 1419858 24147502 410338674 6976072318 118587876498 2015999216878 ', 'curves': ['y^2=4*x^6+10*x^5+6*x^3+x^2+x+11', 'y^2=16*x^6+16*x^5+14*x^3+3*x^2+1', 'y^2=14*x^6+9*x^4+6*x^3+10*x^2+11*x+4', 'y^2=x^6+16*x^5+13*x^4+4*x^3+7*x^2+3*x+13', 'y^2=13*x^6+2*x^5+2*x^4+3*x^3+3*x^2+9*x+10', 'y^2=11*x^6+x^5+6*x^4+8*x^2+4*x+2', 'y^2=5*x^6+6*x^5+2*x^4+3*x^3+10*x^2+14*x+13', 'y^2=14*x^6+6*x^5+2*x^4+15*x^3+11*x^2+3*x+13'], 'dim1_distinct': 0, 'dim1_factors': 0, 'dim2_distinct': 1, 'dim2_factors': 1, 'dim3_distinct': 0, 'dim3_factors': 0, 'dim4_distinct': 0, 'dim4_factors': 0, 'dim5_distinct': 0, 'dim5_factors': 0, 'endomorphism_ring_count': 4, 'g': 2, 'galois_groups': ['4T2'], 'geom_dim1_distinct': 1, 'geom_dim1_factors': 2, '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': 2, 'geometric_extension_degree': 2, 'geometric_galois_groups': ['2T1'], 'geometric_number_fields': ['2.0.120.1'], 'geometric_splitting_field': '2.0.120.1', 'geometric_splitting_polynomials': [[30, 0, 1]], 'group_structure_count': 3, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 8, 'is_cyclic': False, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 8, 'label': '2.17.a_aba', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 8, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [2], 'number_fields': ['4.0.57600.2'], 'p': 17, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, 0, -26, 0, 289], 'poly_str': '1 0 -26 0 289 ', 'primitive_models': [], 'q': 17, 'real_poly': [1, 0, -60], 'simple_distinct': ['2.17.a_aba'], 'simple_factors': ['2.17.a_abaA'], 'simple_multiplicities': [1], 'singular_primes': ['2,-2*F+V+3'], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.57600.2', 'splitting_polynomials': [[49, 0, 16, 0, 1]], 'twist_count': 4, 'twists': [['2.17.a_ba', '2.83521.aho_kbic', 4], ['2.17.ae_i', '2.6975757441.rxuq_evkkvuws', 8], ['2.17.e_i', '2.6975757441.rxuq_evkkvuws', 8]], 'weak_equivalence_count': 5, 'zfv_index': 8, 'zfv_index_factorization': [[2, 3]], 'zfv_is_bass': False, 'zfv_is_maximal': False, 'zfv_plus_index': 2, 'zfv_plus_index_factorization': [[2, 1]], 'zfv_plus_norm': 64, 'zfv_singular_count': 2, 'zfv_singular_primes': ['2,-2*F+V+3']} - av_fq_endalg_factors • Show schema
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av_fq_endalg_data • Show schema
{'brauer_invariants': ['0', '0', '0', '0'], 'center': '4.0.57600.2', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.17.a_aba', 'galois_group': '4T2', 'places': [['6', '1', '0', '0'], ['13', '1', '0', '0'], ['4', '1', '0', '0'], ['11', '1', '0', '0']]} -
av_fq_endalg_data • Show schema
{'brauer_invariants': ['0', '0'], 'center': '2.0.120.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.289.aba', 'galois_group': '2T1', 'places': [['2', '1'], ['15', '1']]}
Abelian variety isogeny class data - 2.17.a_aba