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av_fq_isog • Show schema
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{'abvar_count': 64, 'abvar_counts': [64, 4608, 301504, 20146176, 1350055744, 90458436096, 6060716468416, 406067693395968, 27206534133825088, 1822837802440647168], 'abvar_counts_str': '64 4608 301504 20146176 1350055744 90458436096 6060716468416 406067693395968 27206534133825088 1822837802440647168 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 0, 'angle_rank': 1, 'angles': [0.421429069537878], 'center_dim': 2, 'cohen_macaulay_max': 1, 'curve_count': 64, 'curve_counts': [64, 4608, 301504, 20146176, 1350055744, 90458436096, 6060716468416, 406067693395968, 27206534133825088, 1822837802440647168], 'curve_counts_str': '64 4608 301504 20146176 1350055744 90458436096 6060716468416 406067693395968 27206534133825088 1822837802440647168 ', 'curves': ['y^2=x^3+61*x+55', 'y^2=x^3+52*x+37', 'y^2=x^3+14*x+14', 'y^2=x^3+30*x+60', 'y^2=x^3+42*x+42', 'y^2=x^3+22*x+44', 'y^2=x^3+19*x+38', 'y^2=x^3+5*x+5', 'y^2=x^3+17*x+17', 'y^2=x^3+33*x+33'], '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': 4, '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': 2, 'geometric_extension_degree': 1, 'geometric_galois_groups': ['2T1'], 'geometric_number_fields': ['2.0.7.1'], 'geometric_splitting_field': '2.0.7.1', 'geometric_splitting_polynomials': [[2, -1, 1]], 'group_structure_count': 2, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 0, 'is_geometrically_simple': True, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 10, 'label': '1.67.ae', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 1, 'newton_elevation': 0, 'number_fields': ['2.0.7.1'], 'p': 67, 'p_rank': 1, 'p_rank_deficit': 0, 'poly': [1, -4, 67], 'poly_str': '1 -4 67 ', 'primitive_models': [], 'principal_polarization_count': 10, 'q': 67, 'real_poly': [1, -4], 'simple_distinct': ['1.67.ae'], 'simple_factors': ['1.67.aeA'], 'simple_multiplicities': [1], 'singular_primes': ['2,F+1', '3,-F-1'], 'size': 10, 'slopes': ['0A', '1A'], 'splitting_field': '2.0.7.1', 'splitting_polynomials': [[2, -1, 1]], 'twist_count': 2, 'twists': [['1.67.e', '1.4489.eo', 2]], 'weak_equivalence_count': 4, 'zfv_index': 6, 'zfv_index_factorization': [[2, 1], [3, 1]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 252, 'zfv_singular_count': 4, 'zfv_singular_primes': ['2,F+1', '3,-F-1']}
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av_fq_endalg_factors • Show schema
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{'base_label': '1.67.ae', 'extension_degree': 1, 'extension_label': '1.67.ae', 'multiplicity': 1}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.7.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.67.ae', 'galois_group': '2T1', 'places': [['55', '1'], ['11', '1']]}
