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av_fq_isog • Show schema
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{'abvar_count': 22, 'abvar_counts': [22, 44, 550, 5984, 65362, 212300, 2172038, 16683392, 108870850, 1094290604], 'abvar_counts_str': '22 44 550 5984 65362 212300 2172038 16683392 108870850 1094290604 ', 'angle_corank': 1, 'angle_rank': 2, 'angles': [0.229446223460302, 0.660092868705309, 0.930646645245006], 'center_dim': 6, 'cohen_macaulay_max': 1, 'curve_count': 5, 'curve_counts': [5, 3, 11, 23, 55, 51, 131, 255, 407, 1043], 'curve_counts_str': '5 3 11 23 55 51 131 255 407 1043 ', 'curves': [], 'dim1_distinct': 0, 'dim1_factors': 0, 'dim2_distinct': 0, 'dim2_factors': 0, 'dim3_distinct': 1, 'dim3_factors': 1, 'dim4_distinct': 0, 'dim4_factors': 0, 'dim5_distinct': 0, 'dim5_factors': 0, 'endomorphism_ring_count': 1, 'g': 3, 'galois_groups': ['6T3'], 'geom_dim1_distinct': 0, 'geom_dim1_factors': 0, 'geom_dim2_distinct': 0, 'geom_dim2_factors': 0, 'geom_dim3_distinct': 1, 'geom_dim3_factors': 1, 'geom_dim4_distinct': 0, 'geom_dim4_factors': 0, 'geom_dim5_distinct': 0, 'geom_dim5_factors': 0, 'geometric_center_dim': 6, 'geometric_extension_degree': 1, 'geometric_galois_groups': ['6T3'], 'geometric_number_fields': ['6.0.2580992.1'], 'geometric_splitting_field': '6.0.2580992.1', 'geometric_splitting_polynomials': [[8, -8, 2, 0, 1, -2, 1]], 'group_structure_count': 1, 'has_geom_ss_factor': False, 'has_jacobian': -1, 'has_principal_polarization': 1, 'hyp_count': 0, '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': 0, 'label': '3.2.c_b_a', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 3, 'newton_elevation': 1, 'noncyclic_primes': [], 'number_fields': ['6.0.2580992.1'], 'p': 2, 'p_rank': 2, 'p_rank_deficit': 1, 'poly': [1, 2, 1, 0, 2, 8, 8], 'poly_str': '1 2 1 0 2 8 8 ', 'primitive_models': [], 'q': 2, 'real_poly': [1, 2, -5, -8], 'simple_distinct': ['3.2.c_b_a'], 'simple_factors': ['3.2.c_b_aA'], 'simple_multiplicities': [1], 'singular_primes': [], 'slopes': ['0A', '0B', '1/2A', '1/2B', '1A', '1B'], 'splitting_field': '6.0.2580992.1', 'splitting_polynomials': [[8, -8, 2, 0, 1, -2, 1]], 'twist_count': 2, 'twists': [['3.2.ac_b_a', '3.4.ac_f_am', 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': 8, 'zfv_singular_count': 0, 'zfv_singular_primes': []}
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av_fq_endalg_factors • Show schema
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{'base_label': '3.2.c_b_a', 'extension_degree': 1, 'extension_label': '3.2.c_b_a', 'multiplicity': 1}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0', '0'], 'center': '6.0.2580992.1', 'center_dim': 6, 'divalg_dim': 1, 'extension_label': '3.2.c_b_a', 'galois_group': '6T3', 'places': [['1', '1', '0', '0', '0', '0'], ['0', '1/2', '1', '1/4', '3/2', '1/4'], ['1', '1/2', '0', '1/4', '1/2', '5/4']]}
