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av_fq_isog • Show schema
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{'abvar_count': 76, 'abvar_counts': [76, 6384, 493924, 38942400, 3076955836, 243087660144, 19203917749204, 1517108828793600, 119851595365885996, 9468276078667841904], 'abvar_counts_str': '76 6384 493924 38942400 3076955836 243087660144 19203917749204 1517108828793600 119851595365885996 9468276078667841904 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 0, 'angle_rank': 1, 'angles': [0.427756044762095], 'center_dim': 2, 'cohen_macaulay_max': 1, 'curve_count': 76, 'curve_counts': [76, 6384, 493924, 38942400, 3076955836, 243087660144, 19203917749204, 1517108828793600, 119851595365885996, 9468276078667841904], 'curve_counts_str': '76 6384 493924 38942400 3076955836 243087660144 19203917749204 1517108828793600 119851595365885996 9468276078667841904 ', 'curves': ['y^2=x^3+75*x+67', 'y^2=x^3+12', 'y^2=x^3+64*x+64', 'y^2=x^3+28*x+28', 'y^2=x^3+58*x+16', 'y^2=x^3+15*x+15', 'y^2=x^3+44*x+44', 'y^2=x^3+14*x+42', 'y^2=x^3+4*x+12', 'y^2=x^3+8*x+24'], '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': ['2.0.3.1'], 'geometric_splitting_field': '2.0.3.1', 'geometric_splitting_polynomials': [[1, -1, 1]], 'group_structure_count': 2, 'has_geom_ss_factor': False, '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': False, 'jacobian_count': 10, 'label': '1.79.ae', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 6, 'newton_coelevation': 1, 'newton_elevation': 0, 'noncyclic_primes': [2], 'number_fields': ['2.0.3.1'], 'p': 79, 'p_rank': 1, 'p_rank_deficit': 0, 'pic_prime_gens': [[1, 3, 1, 2], [1, 7, 1, 6]], 'poly': [1, -4, 79], 'poly_str': '1 -4 79 ', 'primitive_models': [], 'principal_polarization_count': 10, 'q': 79, 'real_poly': [1, -4], 'simple_distinct': ['1.79.ae'], 'simple_factors': ['1.79.aeA'], 'simple_multiplicities': [1], 'singular_primes': ['2,F-1', '5,-2*F-1'], 'size': 10, 'slopes': ['0A', '1A'], 'splitting_field': '2.0.3.1', 'splitting_polynomials': [[1, -1, 1]], 'twist_count': 6, 'twists': [['1.79.e', '1.6241.fm', 2], ['1.79.an', '1.493039.bia', 3], ['1.79.r', '1.493039.bia', 3], ['1.79.ar', '1.243087455521.lqsc', 6], ['1.79.n', '1.243087455521.lqsc', 6]], 'weak_equivalence_count': 4, 'zfv_index': 10, 'zfv_index_factorization': [[2, 1], [5, 1]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_pic_size': 6, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 300, 'zfv_singular_count': 4, 'zfv_singular_primes': ['2,F-1', '5,-2*F-1']}
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av_fq_endalg_factors • Show schema
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{'base_label': '1.79.ae', 'extension_degree': 1, 'extension_label': '1.79.ae', 'multiplicity': 1}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.3.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.79.ae', 'galois_group': '2T1', 'places': [['23', '1'], ['55', '1']]}
