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av_fq_isog • Show schema
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{'abvar_count': 53, 'abvar_counts': [53, 2809, 117236, 6205081, 282504893, 13744279696, 678221428637, 33196990992489, 1628413673072564, 79809014568941449], 'abvar_counts_str': '53 2809 117236 6205081 282504893 13744279696 678221428637 33196990992489 1628413673072564 79809014568941449 ', 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.284371180878302, 0.715628819121698], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 8, 'curve_counts': [8, 56, 344, 2580, 16808, 116822, 823544, 5758564, 40353608, 282534536], 'curve_counts_str': '8 56 344 2580 16808 116822 823544 5758564 40353608 282534536 ', 'curves': ['y^2=6*x^6+3*x^5+6*x^4+2*x+6', 'y^2=5*x^6+6*x^4+5*x^3+3*x^2+3*x+5', 'y^2=x^6+4*x^4+x^3+2*x^2+2*x+1'], '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': ['2.0.187.1'], 'geometric_splitting_field': '2.0.187.1', 'geometric_splitting_polynomials': [[47, -1, 1]], 'group_structure_count': 1, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 3, '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': 3, 'label': '2.7.a_d', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 4, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [], 'number_fields': ['4.0.559504.1'], 'p': 7, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, 0, 3, 0, 49], 'poly_str': '1 0 3 0 49 ', 'primitive_models': [], 'q': 7, 'real_poly': [1, 0, -11], 'simple_distinct': ['2.7.a_d'], 'simple_factors': ['2.7.a_dA'], 'simple_multiplicities': [1], 'singular_primes': [], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.559504.1', 'splitting_polynomials': [[49, 0, 3, 0, 1]], 'twist_count': 2, 'twists': [['2.7.a_ad', '2.2401.gw_svj', 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': 289, 'zfv_singular_count': 0, 'zfv_singular_primes': []}
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av_fq_endalg_factors • Show schema
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id: 7207
{'base_label': '2.7.a_d', 'extension_degree': 1, 'extension_label': '2.7.a_d', 'multiplicity': 1}
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id: 7208
{'base_label': '2.7.a_d', 'extension_degree': 2, 'extension_label': '1.49.d', 'multiplicity': 2}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0', '0', '0'], 'center': '4.0.559504.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.7.a_d', 'galois_group': '4T2', 'places': [['2', '1', '0', '0'], ['5', '1', '0', '0'], ['2', '3/7', '0', '1/7'], ['5', '3/7', '0', '1/7']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.187.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.49.d', 'galois_group': '2T1', 'places': [['1', '1'], ['5', '1']]}
