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av_fq_isog • Show schema
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{'abvar_count': 60, 'abvar_counts': [60, 3600, 205380, 12110400, 714924300, 42180944400, 2488651484820, 146830413369600, 8662995818654940, 511116754730490000], 'abvar_counts_str': '60 3600 205380 12110400 714924300 42180944400 2488651484820 146830413369600 8662995818654940 511116754730490000 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 1, 'angle_rank': 0, 'angles': [0.5], 'center_dim': 2, 'cohen_macaulay_max': 1, 'curve_count': 60, 'curve_counts': [60, 3600, 205380, 12110400, 714924300, 42180944400, 2488651484820, 146830413369600, 8662995818654940, 511116754730490000], 'curve_counts_str': '60 3600 205380 12110400 714924300 42180944400 2488651484820 146830413369600 8662995818654940 511116754730490000 ', 'curves': ['y^2=x^3+21*x+42', 'y^2=x^3+58*x+58', 'y^2=x^3+2', 'y^2=x^3+x+2', 'y^2=x^3+15*x+15', 'y^2=x^3+44*x+44', 'y^2=x^3+55*x+51', 'y^2=x^3+20*x+20', 'y^2=x^3+2*x', 'y^2=x^3+1', 'y^2=x^3+x', 'y^2=x^3+58*x+57'], 'dim1_distinct': 1, 'dim1_factors': 1, 'dim2_distinct': 0, 'dim2_factors': 0, 'dim3_distinct': 0, 'dim3_factors': 0, 'dim4_distinct': 0, 'dim4_factors': 0, 'dim5_distinct': 0, 'dim5_factors': 0, 'endomorphism_ring_count': 2, 'g': 1, 'galois_groups': ['2T1'], 'geom_dim1_distinct': 1, 'geom_dim1_factors': 1, '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': 1, 'geometric_extension_degree': 2, 'geometric_galois_groups': ['1T1'], 'geometric_number_fields': ['1.1.1.1'], 'geometric_splitting_field': '1.1.1.1', 'geometric_splitting_polynomials': [[0, 1]], 'group_structure_count': 2, 'has_geom_ss_factor': True, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 0, 'is_cyclic': False, 'is_geometrically_simple': True, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': True, 'jacobian_count': 12, 'label': '1.59.a', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 4, 'max_twist_degree': 1, 'newton_coelevation': 0, 'newton_elevation': 1, 'noncyclic_primes': [2], 'number_fields': ['2.0.59.1'], 'p': 59, 'p_rank': 0, 'p_rank_deficit': 1, 'poly': [1, 0, 59], 'poly_str': '1 0 59 ', 'primitive_models': [], 'principal_polarization_count': 12, 'q': 59, 'real_poly': [1], 'simple_distinct': ['1.59.a'], 'simple_factors': ['1.59.aA'], 'simple_multiplicities': [1], 'singular_primes': ['2,F+1'], 'size': 12, 'slopes': ['1/2A', '1/2B'], 'splitting_field': '2.0.59.1', 'splitting_polynomials': [[15, -1, 1]], 'twist_count': 1, 'twists': [], 'weak_equivalence_count': 2, 'zfv_index': 2, 'zfv_index_factorization': [[2, 1]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 236, 'zfv_singular_count': 2, 'zfv_singular_primes': ['2,F+1']}
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av_fq_endalg_factors • Show schema
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id: 483
{'base_label': '1.59.a', 'extension_degree': 1, 'extension_label': '1.59.a', 'multiplicity': 1}
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id: 484
{'base_label': '1.59.a', 'extension_degree': 2, 'extension_label': '1.3481.eo', 'multiplicity': 1}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0'], 'center': '2.0.59.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.59.a', 'galois_group': '2T1', 'places': [['29', '1']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['1/2'], 'center': '1.1.1.1', 'center_dim': 1, 'divalg_dim': 4, 'extension_label': '1.3481.eo', 'galois_group': '1T1', 'places': [['0']]}
