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av_fq_isog • Show schema
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{'abvar_count': 20, 'abvar_counts': [20, 80, 1220, 6400, 50500, 531920, 4726420, 45158400, 382764020, 3486722000], 'abvar_counts_str': '20 80 1220 6400 50500 531920 4726420 45158400 382764020 3486722000 ', 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.383860236400615, 0.883860236400615], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 6, 'curve_counts': [6, 10, 42, 78, 206, 730, 2162, 6878, 19446, 59050], 'curve_counts_str': '6 10 42 78 206 730 2162 6878 19446 59050 ', 'curves': ['y^2=x^5+2*x^4+2*x^3+2*x^2+2*x+1', 'y^2=x^6+x^5+2*x^4+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': 3, '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': 4, 'geometric_galois_groups': ['2T1'], 'geometric_number_fields': ['2.0.20.1'], 'geometric_splitting_field': '2.0.20.1', 'geometric_splitting_polynomials': [[5, 0, 1]], 'group_structure_count': 2, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 2, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 2, 'label': '2.3.c_c', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 8, 'newton_coelevation': 2, 'newton_elevation': 0, 'number_fields': ['4.0.400.1'], 'p': 3, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, 2, 2, 6, 9], 'poly_str': '1 2 2 6 9 ', 'primitive_models': [], 'q': 3, 'real_poly': [1, 2, -4], 'simple_distinct': ['2.3.c_c'], 'simple_factors': ['2.3.c_cA'], 'simple_multiplicities': [1], 'singular_primes': ['2,-3*V-9'], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.400.1', 'splitting_polynomials': [[1, 0, 3, 0, 1]], 'twist_count': 4, 'twists': [['2.3.ac_c', '2.9.a_ac', 2], ['2.3.a_ae', '2.6561.me_ceiw', 8], ['2.3.a_e', '2.6561.me_ceiw', 8]], 'weak_equivalence_count': 3, 'zfv_index': 4, 'zfv_index_factorization': [[2, 2]], 'zfv_is_bass': True, '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,-3*V-9']}
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av_fq_endalg_factors • Show schema
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id: 6478
{'base_label': '2.3.c_c', 'extension_degree': 1, 'extension_label': '2.3.c_c', 'multiplicity': 1}
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id: 6479
{'base_label': '2.3.c_c', 'extension_degree': 2, 'extension_label': '2.9.a_ac', 'multiplicity': 1}
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id: 6480
{'base_label': '2.3.c_c', 'extension_degree': 4, 'extension_label': '1.81.ac', 'multiplicity': 2}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '4.0.400.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.3.c_c', 'galois_group': '4T2', 'places': [['0', '2', '1', '1'], ['0', '1', '1', '2']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '4.0.400.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.9.a_ac', 'galois_group': '4T2', 'places': [['0', '1', '1', '2'], ['0', '2', '1', '1']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.20.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.81.ac', 'galois_group': '2T1', 'places': [['2', '1'], ['1', '1']]}
