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av_fq_isog • Show schema
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{'abvar_count': 17, 'abvar_counts': [17, 493, 12869, 422501, 9656272, 246685861, 6175992917, 152587503653, 3823446265433, 95416945389568], 'abvar_counts_str': '17 493 12869 422501 9656272 246685861 6175992917 152587503653 3823446265433 95416945389568 ', 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.123439569429425, 0.747770883446578], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 5, 'curve_counts': [5, 19, 101, 675, 3090, 15787, 79049, 390627, 1957601, 9770694], 'curve_counts_str': '5 19 101 675 3090 15787 79049 390627 1957601 9770694 ', 'curves': ['y^2=3*x^6+3*x^4+4*x^3+4*x^2+3*x+3'], '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': 1, 'g': 2, 'galois_groups': ['4T3'], 'geom_dim1_distinct': 0, 'geom_dim1_factors': 0, 'geom_dim2_distinct': 1, 'geom_dim2_factors': 1, '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': 1, 'geometric_galois_groups': ['4T3'], 'geometric_number_fields': ['4.0.81461.1'], 'geometric_splitting_field': '4.0.44573.1', 'geometric_splitting_polynomials': [[5, -7, 8, -2, 1]], 'group_structure_count': 1, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 1, 'is_cyclic': True, 'is_geometrically_simple': True, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 1, 'label': '2.5.ab_ad', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [], 'number_fields': ['4.0.81461.1'], 'p': 5, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, -1, -3, -5, 25], 'poly_str': '1 -1 -3 -5 25 ', 'primitive_models': [], 'q': 5, 'real_poly': [1, -1, -13], 'simple_distinct': ['2.5.ab_ad'], 'simple_factors': ['2.5.ab_adA'], 'simple_multiplicities': [1], 'singular_primes': [], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.44573.1', 'splitting_polynomials': [[5, -7, 8, -2, 1]], 'twist_count': 2, 'twists': [['2.5.b_ad', '2.25.ah_bx', 2]], 'weak_equivalence_count': 1, 'zfv_index': 1, 'zfv_index_factorization': [], 'zfv_is_bass': True, 'zfv_is_maximal': True, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 29, 'zfv_singular_count': 0, 'zfv_singular_primes': []}
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av_fq_endalg_factors • Show schema
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{'base_label': '2.5.ab_ad', 'extension_degree': 1, 'extension_label': '2.5.ab_ad', 'multiplicity': 1}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '4.0.81461.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.5.ab_ad', 'galois_group': '4T3', 'places': [['4', '22/5', '24/5', '1/5'], ['0', '1', '0', '0']]}
