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av_fq_isog • Show schema
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{'abvar_count': 488, 'abvar_counts': [488, 238144, 148028456, 77916906496, 41426517718568, 21912423785743936, 11592836331211559912, 6132620008310580854784, 3244150909898138946474344, 1716156370286828451651970624], 'abvar_counts_str': '488 238144 148028456 77916906496 41426517718568 21912423785743936 11592836331211559912 6132620008310580854784 3244150909898138946474344 1716156370286828451651970624 ', 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.0668628183960181, 0.933137181603982], 'center_dim': 4, 'cohen_macaulay_max': 2, 'curve_count': 24, 'curve_counts': [24, 446, 12168, 278430, 6436344, 148021022, 3404825448, 78311107774, 1801152661464, 41426524223486], 'curve_counts_str': '24 446 12168 278430 6436344 148021022 3404825448 78311107774 1801152661464 41426524223486 ', 'curves': ['y^2=5*x^6+8*x^4+11*x^3+22*x^2+12*x+13', 'y^2=21*x^6+8*x^5+7*x^4+6*x^3+14*x^2+3*x+21', 'y^2=9*x^6+10*x^5+6*x^4+4*x^2+16*x+18'], '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': ['2.0.88.1'], 'geometric_splitting_field': '2.0.88.1', 'geometric_splitting_polynomials': [[22, 0, 1]], 'group_structure_count': 3, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 3, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 3, 'label': '2.23.a_abq', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 12, 'newton_coelevation': 2, 'newton_elevation': 0, 'number_fields': ['4.0.30976.2'], 'p': 23, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, 0, -42, 0, 529], 'poly_str': '1 0 -42 0 529 ', 'primitive_models': [], 'q': 23, 'real_poly': [1, 0, -88], 'simple_distinct': ['2.23.a_abq'], 'simple_factors': ['2.23.a_abqA'], 'simple_multiplicities': [1], 'singular_primes': ['2,-4*F+V-3'], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.30976.2', 'splitting_polynomials': [[121, 0, 0, 0, 1]], 'twist_count': 6, 'twists': [['2.23.ae_by', '2.279841.acci_cifgw', 4], ['2.23.a_bq', '2.279841.acci_cifgw', 4], ['2.23.e_by', '2.279841.acci_cifgw', 4], ['2.23.ac_at', '2.21914624432020321.bonxvzw_bbtgqipupyuag', 12], ['2.23.c_at', '2.21914624432020321.bonxvzw_bbtgqipupyuag', 12]], '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': 16, 'zfv_singular_count': 2, 'zfv_singular_primes': ['2,-4*F+V-3']}
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av_fq_endalg_factors • Show schema
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id: 13349
{'base_label': '2.23.a_abq', 'extension_degree': 1, 'extension_label': '2.23.a_abq', 'multiplicity': 1}
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id: 13350
{'base_label': '2.23.a_abq', 'extension_degree': 2, 'extension_label': '1.529.abq', 'multiplicity': 2}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '4.0.30976.2', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.23.a_abq', 'galois_group': '4T2', 'places': [['11', '1', '22', '0'], ['12', '1', '1', '0']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.88.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.529.abq', 'galois_group': '2T1', 'places': [['1', '1'], ['22', '1']]}