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av_fq_isog • Show schema
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{'abvar_count': 49, 'abvar_counts': [49, 2401, 117796, 6245001, 282463489, 13875897616, 678223863121, 33179846438025, 1628413549492324, 79785622618053121], 'abvar_counts_str': '49 2401 117796 6245001 282463489 13875897616 678223863121 33179846438025 1628413549492324 79785622618053121 ', 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.238622100671799, 0.761377899328201], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 8, 'curve_counts': [8, 48, 344, 2596, 16808, 117942, 823544, 5755588, 40353608, 282451728], 'curve_counts_str': '8 48 344 2596 16808 117942 823544 5755588 40353608 282451728 ', 'curves': ['y^2=2*x^6+x^5+x^4+4*x^3+x^2+4*x+6', 'y^2=4*x^6+x^5+5*x^4+6*x^3+x^2+4*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': ['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': ['2.0.195.1'], 'geometric_splitting_field': '2.0.195.1', 'geometric_splitting_polynomials': [[49, -1, 1]], 'group_structure_count': 1, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 2, 'is_cyclic': True, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 2, 'label': '2.7.a_ab', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 4, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [], 'number_fields': ['4.0.608400.1'], 'p': 7, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, 0, -1, 0, 49], 'poly_str': '1 0 -1 0 49 ', 'primitive_models': [], 'q': 7, 'real_poly': [1, 0, -15], 'simple_distinct': ['2.7.a_ab'], 'simple_factors': ['2.7.a_abA'], 'simple_multiplicities': [1], 'singular_primes': [], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.608400.1', 'splitting_polynomials': [[49, 0, -1, 0, 1]], 'twist_count': 2, 'twists': [['2.7.a_b', '2.2401.hm_vap', 4]], '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': 169, 'zfv_singular_count': 0, 'zfv_singular_primes': []}
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av_fq_endalg_factors • Show schema
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id: 7216
{'base_label': '2.7.a_ab', 'extension_degree': 1, 'extension_label': '2.7.a_ab', 'multiplicity': 1}
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id: 7217
{'base_label': '2.7.a_ab', 'extension_degree': 2, 'extension_label': '1.49.ab', 'multiplicity': 2}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0', '0', '0'], 'center': '4.0.608400.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.7.a_ab', 'galois_group': '4T2', 'places': [['1', '1', '0', '0'], ['6', '1', '0', '0'], ['1', '48/7', '0', '1/7'], ['6', '48/7', '0', '1/7']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.195.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.49.ab', 'galois_group': '2T1', 'places': [['6', '1'], ['0', '1']]}
