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av_fq_isog • Show schema
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{'abvar_count': 8, 'abvar_counts': [8, 64, 776, 9216, 58568, 602176, 4785992, 42614784, 387417224, 3430210624], 'abvar_counts_str': '8 64 776 9216 58568 602176 4785992 42614784 387417224 3430210624 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.195913276015304, 0.804086723984696], 'center_dim': 4, 'cohen_macaulay_max': 2, 'curve_count': 4, 'curve_counts': [4, 6, 28, 110, 244, 822, 2188, 6494, 19684, 58086], 'curve_counts_str': '4 6 28 110 244 822 2188 6494 19684 58086 ', 'curves': ['y^2=x^5+2*x', 'y^2=x^5+x^4+2*x^2+x+2'], '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': 4, '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': ['2.0.8.1'], 'geometric_splitting_field': '2.0.8.1', 'geometric_splitting_polynomials': [[2, 0, 1]], 'group_structure_count': 3, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 2, 'is_cyclic': False, '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.a_ac', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 12, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [2], 'number_fields': ['4.0.256.1'], 'p': 3, 'p_rank': 2, 'p_rank_deficit': 0, 'pic_prime_gens': [], 'poly': [1, 0, -2, 0, 9], 'poly_str': '1 0 -2 0 9 ', 'primitive_models': [], 'principal_polarization_count': 4, 'q': 3, 'real_poly': [1, 0, -8], 'simple_distinct': ['2.3.a_ac'], 'simple_factors': ['2.3.a_acA'], 'simple_multiplicities': [1], 'singular_primes': ['2,-2*F+V-3'], 'size': 5, 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.256.1', 'splitting_polynomials': [[1, 0, 0, 0, 1]], 'twist_count': 8, 'twists': [['2.3.ae_k', '2.81.bc_nu', 4], ['2.3.a_c', '2.81.bc_nu', 4], ['2.3.e_k', '2.81.bc_nu', 4], ['2.3.ae_i', '2.6561.acq_vde', 8], ['2.3.e_i', '2.6561.acq_vde', 8], ['2.3.ac_b', '2.531441.abyq_dhcuo', 12], ['2.3.c_b', '2.531441.abyq_dhcuo', 12]], 'weak_equivalence_count': 5, 'zfv_index': 8, 'zfv_index_factorization': [[2, 3]], 'zfv_is_bass': False, 'zfv_is_maximal': False, 'zfv_pic_size': 1, 'zfv_plus_index': 2, 'zfv_plus_index_factorization': [[2, 1]], 'zfv_plus_norm': 16, 'zfv_singular_count': 2, 'zfv_singular_primes': ['2,-2*F+V-3']}
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av_fq_endalg_factors • Show schema
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id: 6503
{'base_label': '2.3.a_ac', 'extension_degree': 1, 'extension_label': '2.3.a_ac', 'multiplicity': 1}
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id: 6504
{'base_label': '2.3.a_ac', 'extension_degree': 2, 'extension_label': '1.9.ac', 'multiplicity': 2}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '4.0.256.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.3.a_ac', 'galois_group': '4T2', 'places': [['2', '2', '1', '0'], ['2', '1', '1', '0']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.8.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.9.ac', 'galois_group': '2T1', 'places': [['1', '1'], ['2', '1']]}
