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av_fq_isog • Show schema
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{'abvar_count': 70, 'abvar_counts': [70, 6300, 494410, 38959200, 3077039350, 243086564700, 19203901424890, 1517108804668800, 119851596527581030, 9468276088490257500], 'abvar_counts_str': '70 6300 494410 38959200 3077039350 243086564700 19203901424890 1517108804668800 119851596527581030 9468276088490257500 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 0, 'angle_rank': 1, 'angles': [0.309822710653648], 'center_dim': 2, 'cohen_macaulay_max': 1, 'curve_count': 70, 'curve_counts': [70, 6300, 494410, 38959200, 3077039350, 243086564700, 19203901424890, 1517108804668800, 119851596527581030, 9468276088490257500], 'curve_counts_str': '70 6300 494410 38959200 3077039350 243086564700 19203901424890 1517108804668800 119851596527581030 9468276088490257500 ', 'curves': ['y^2=x^3+22*x+22', 'y^2=x^3+78*x+76', 'y^2=x^3+42*x+47', 'y^2=x^3+63*x+31', 'y^2=x^3+29*x+29', 'y^2=x^3+10*x+30', 'y^2=x^3+65*x+65', 'y^2=x^3+49*x+68'], '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': 2, 'geometric_extension_degree': 1, 'geometric_galois_groups': ['2T1'], 'geometric_number_fields': ['2.0.24.1'], 'geometric_splitting_field': '2.0.24.1', 'geometric_splitting_polynomials': [[6, 0, 1]], 'group_structure_count': 1, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 0, 'is_cyclic': True, 'is_geometrically_simple': True, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 8, 'label': '1.79.ak', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 1, 'newton_elevation': 0, 'noncyclic_primes': [], 'number_fields': ['2.0.24.1'], 'p': 79, 'p_rank': 1, 'p_rank_deficit': 0, 'pic_prime_gens': [[1, 2, 1, 2], [1, 5, 1, 6]], 'poly': [1, -10, 79], 'poly_str': '1 -10 79 ', 'primitive_models': [], 'principal_polarization_count': 8, 'q': 79, 'real_poly': [1, -10], 'simple_distinct': ['1.79.ak'], 'simple_factors': ['1.79.akA'], 'simple_multiplicities': [1], 'singular_primes': ['3,F+1'], 'size': 8, 'slopes': ['0A', '1A'], 'splitting_field': '2.0.24.1', 'splitting_polynomials': [[6, 0, 1]], 'twist_count': 2, 'twists': [['1.79.k', '1.6241.cg', 2]], 'weak_equivalence_count': 2, 'zfv_index': 3, 'zfv_index_factorization': [[3, 1]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_pic_size': 6, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 216, 'zfv_singular_count': 2, 'zfv_singular_primes': ['3,F+1']}
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av_fq_endalg_factors • Show schema
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{'base_label': '1.79.ak', 'extension_degree': 1, 'extension_label': '1.79.ak', 'multiplicity': 1}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.24.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.79.ak', 'galois_group': '2T1', 'places': [['51', '1'], ['28', '1']]}
