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av_fq_isog • Show schema
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{'abvar_count': 50, 'abvar_counts': [50, 2500, 261650, 16000000, 1073755250, 68460722500, 4398049840850, 281434176000000, 18014398777478450, 1152950336902562500], 'abvar_counts_str': '50 2500 261650 16000000 1073755250 68460722500 4398049840850 281434176000000 18014398777478450 1152950336902562500 ', 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.0565670411286606, 0.943432958871339], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 9, 'curve_counts': [9, 35, 513, 3903, 32769, 261155, 2097153, 16774783, 134217729, 1073768675], 'curve_counts_str': '9 35 513 3903 32769 261155 2097153 16774783 134217729 1073768675 ', 'curves': [], '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': ['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': ['2.0.31.1'], 'geometric_splitting_field': '2.0.31.1', 'geometric_splitting_polynomials': [[8, -1, 1]], 'group_structure_count': 1, 'has_geom_ss_factor': False, 'has_jacobian': -1, 'has_principal_polarization': 1, 'hyp_count': 0, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 0, 'label': '2.8.a_ap', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 12, 'newton_coelevation': 2, 'newton_elevation': 0, 'number_fields': ['4.0.15376.2'], 'p': 2, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, 0, -15, 0, 64], 'poly_str': '1 0 -15 0 64 ', 'primitive_models': [], 'q': 8, 'real_poly': [1, 0, -31], 'simple_distinct': ['2.8.a_ap'], 'simple_factors': ['2.8.a_apA'], 'simple_multiplicities': [1], 'singular_primes': [], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.15376.2', 'splitting_polynomials': [[64, 0, -15, 0, 1]], 'twist_count': 6, 'twists': [['2.8.ac_r', '2.4096.ahm_baaz', 4], ['2.8.a_p', '2.4096.ahm_baaz', 4], ['2.8.c_r', '2.4096.ahm_baaz', 4], ['2.8.ab_ah', '2.68719476736.bfufu_bavjmdrrl', 12], ['2.8.b_ah', '2.68719476736.bfufu_bavjmdrrl', 12]], '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': 1, 'zfv_singular_count': 0, 'zfv_singular_primes': []}
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av_fq_endalg_factors • Show schema
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id: 7591
{'base_label': '2.8.a_ap', 'extension_degree': 1, 'extension_label': '2.8.a_ap', 'multiplicity': 1}
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id: 7592
{'base_label': '2.8.a_ap', 'extension_degree': 2, 'extension_label': '1.64.ap', 'multiplicity': 2}
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av_fq_endalg_data • Show schema
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id: 6724
{'brauer_invariants': ['0', '0'], 'center': '4.0.15376.2', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.8.a_ap', 'galois_group': '4T2', 'places': [['1', '1', '0', '0'], ['1', '1/8', '0', '1/8']]}
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id: 1248628
{'brauer_invariants': ['0', '0'], 'center': '4.0.15376.2', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.8.a_ap', 'galois_group': '4T2', 'places': [['1', '1', '0', '0'], ['1', '7/8', '1', '15/8']]}
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id: 2600449
{'brauer_invariants': ['0', '0'], 'center': '4.0.15376.2', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.8.a_ap', 'galois_group': '4T2', 'places': [['1', '1', '0', '0'], ['1', '9/8', '1', '1/8']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.31.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.64.ap', 'galois_group': '2T1', 'places': [['0', '1'], ['1', '1']]}
