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av_fq_isog • Show schema
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{'abvar_count': 466, 'abvar_counts': [466, 82948, 24896050, 6880370704, 2018846991346, 582622191933700, 168397500986100754, 48658925715634520064, 14063141898998542964050, 4064231406644218986637828], 'abvar_counts_str': '466 82948 24896050 6880370704 2018846991346 582622191933700 168397500986100754 48658925715634520064 14063141898998542964050 4064231406644218986637828 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.490632536990461, 0.990632536990461], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 26, 'curve_counts': [26, 290, 5066, 82374, 1421866, 24137570, 410386618, 6975432574, 118588360922, 2015993900450], 'curve_counts_str': '26 290 5066 82374 1421866 24137570 410386618 6975432574 118588360922 2015993900450 ', 'curves': ['y^2=x^5+14*x', 'y^2=x^6+3*x^5+2*x^4+2*x^2+14*x+1'], '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': 2, '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': 4, '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': 1, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 2, 'is_cyclic': True, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 2, 'label': '2.17.i_bg', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 24, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [], 'number_fields': ['4.0.256.1'], 'p': 17, 'p_rank': 2, 'p_rank_deficit': 0, 'pic_prime_gens': [[1, 2, 1, 2]], 'poly': [1, 8, 32, 136, 289], 'poly_str': '1 8 32 136 289 ', 'primitive_models': [], 'principal_polarization_count': 2, 'q': 17, 'real_poly': [1, 8, -2], 'simple_distinct': ['2.17.i_bg'], 'simple_factors': ['2.17.i_bgA'], 'simple_multiplicities': [1], 'singular_primes': ['3,-13*F-4*V-37'], 'size': 3, 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.256.1', 'splitting_polynomials': [[1, 0, 0, 0, 1]], 'twist_count': 8, 'twists': [['2.17.ai_bg', '2.289.a_awc', 2], ['2.17.am_cs', '2.6975757441.asmoy_faoxxvhu', 8], ['2.17.a_ac', '2.6975757441.asmoy_faoxxvhu', 8], ['2.17.a_c', '2.6975757441.asmoy_faoxxvhu', 8], ['2.17.m_cs', '2.6975757441.asmoy_faoxxvhu', 8], ['2.17.ag_t', '2.339448671314611904643504117121.amooelrxyykq_cvnbjxscwgdnlnlwfntnwo', 24], ['2.17.g_t', '2.339448671314611904643504117121.amooelrxyykq_cvnbjxscwgdnlnlwfntnwo', 24]], 'weak_equivalence_count': 2, 'zfv_index': 9, 'zfv_index_factorization': [[3, 2]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_pic_size': 2, 'zfv_plus_index': 3, 'zfv_plus_index_factorization': [[3, 1]], 'zfv_plus_norm': 4, 'zfv_singular_count': 2, 'zfv_singular_primes': ['3,-13*F-4*V-37']}
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av_fq_endalg_factors • Show schema
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id: 10438
{'base_label': '2.17.i_bg', 'extension_degree': 1, 'extension_label': '2.17.i_bg', 'multiplicity': 1}
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id: 10439
{'base_label': '2.17.i_bg', 'extension_degree': 2, 'extension_label': '2.289.a_awc', 'multiplicity': 1}
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id: 10440
{'base_label': '2.17.i_bg', 'extension_degree': 4, 'extension_label': '1.83521.awc', 'multiplicity': 2}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0', '0', '0'], 'center': '4.0.256.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.17.i_bg', 'galois_group': '4T2', 'places': [['9', '1', '0', '0'], ['15', '1', '0', '0'], ['2', '1', '0', '0'], ['8', '1', '0', '0']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0', '0', '0'], 'center': '4.0.256.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.289.a_awc', 'galois_group': '4T2', 'places': [['9', '1', '0', '0'], ['15', '1', '0', '0'], ['2', '1', '0', '0'], ['8', '1', '0', '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': '1.83521.awc', 'galois_group': '2T1', 'places': [['10', '1'], ['7', '1']]}
