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av_fq_isog • Show schema
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{'abvar_count': 23, 'abvar_counts': [23, 2737, 130916, 5848969, 282342503, 13896471568, 680365917527, 33255091162377, 1627947385063652, 79774236353790097], 'abvar_counts_str': '23 2737 130916 5848969 282342503 13896471568 680365917527 33255091162377 1627947385063652 79774236353790097 ', 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.185925252552296, 0.403118263530947], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 2, 'curve_counts': [2, 56, 380, 2436, 16802, 118118, 826142, 5768644, 40342052, 282411416], 'curve_counts_str': '2 56 380 2436 16802 118118 826142 5768644 40342052 282411416 ', 'curves': ['y^2=3*x^6+3*x^5+2*x^3+x^2+6', 'y^2=6*x^6+4*x^5+4*x^4+x^3+4*x^2+5*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': 1, 'g': 2, 'galois_groups': ['4T3'], 'geom_dim1_distinct': 0, 'geom_dim1_factors': 0, 'geom_dim2_distinct': 1, 'geom_dim2_factors': 1, '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': 4, 'geometric_extension_degree': 1, 'geometric_galois_groups': ['4T3'], 'geometric_number_fields': ['4.0.13888.1'], 'geometric_splitting_field': '4.0.13888.1', 'geometric_splitting_polynomials': [[17, -2, 9, -2, 1]], 'group_structure_count': 1, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 2, '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': 2, 'label': '2.7.ag_v', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 1, 'newton_elevation': 1, 'noncyclic_primes': [], 'number_fields': ['4.0.13888.1'], 'p': 7, 'p_rank': 1, 'p_rank_deficit': 1, 'poly': [1, -6, 21, -42, 49], 'poly_str': '1 -6 21 -42 49 ', 'primitive_models': [], 'q': 7, 'real_poly': [1, -6, 7], 'simple_distinct': ['2.7.ag_v'], 'simple_factors': ['2.7.ag_vA'], 'simple_multiplicities': [1], 'singular_primes': [], 'slopes': ['0A', '1/2A', '1/2B', '1A'], 'splitting_field': '4.0.13888.1', 'splitting_polynomials': [[17, -2, 9, -2, 1]], 'twist_count': 2, 'twists': [['2.7.g_v', '2.49.g_bj', 2]], 'weak_equivalence_count': 1, 'zfv_index': 1, 'zfv_index_factorization': [], 'zfv_is_bass': True, 'zfv_is_maximal': True, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 217, 'zfv_singular_count': 0, 'zfv_singular_primes': []}
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av_fq_endalg_factors • Show schema
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{'base_label': '2.7.ag_v', 'extension_degree': 1, 'extension_label': '2.7.ag_v', 'multiplicity': 1}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0', '0'], 'center': '4.0.13888.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.7.ag_v', 'galois_group': '4T3', 'places': [['4', '1', '0', '0'], ['38/7', '31/7', '1', '47/7'], ['24/7', '31/7', '1', '47/7']]}
