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av_fq_isog • Show schema
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{'abvar_count': 139, 'abvar_counts': [139, 79369, 24128176, 6943914441, 2010360903259, 582168877086976, 168359278701453979, 48661044555091420809, 14063084451918975425584, 4064226529530741241632649], 'abvar_counts_str': '139 79369 24128176 6943914441 2010360903259 582168877086976 168359278701453979 48661044555091420809 14063084451918975425584 4064226529530741241632649 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.0157896134133987, 0.349122946746732], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 6, 'curve_counts': [6, 276, 4914, 83140, 1415886, 24118782, 410293470, 6975736324, 118587876498, 2015991481236], 'curve_counts_str': '6 276 4914 83140 1415886 24118782 410293470 6975736324 118587876498 2015991481236 ', 'curves': ['y^2=3*x^6+2*x^5+13*x^4+12*x^3+14*x^2+16*x+3', 'y^2=7*x^6+10*x^5+3*x^3+4*x^2+15*x+7'], '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': 6, 'geometric_galois_groups': ['2T1'], 'geometric_number_fields': ['2.0.15.1'], 'geometric_splitting_field': '2.0.15.1', 'geometric_splitting_polynomials': [[4, -1, 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.am_cn', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 12, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [], 'number_fields': ['4.0.225.1'], 'p': 17, 'p_rank': 2, 'p_rank_deficit': 0, 'pic_prime_gens': [], 'poly': [1, -12, 65, -204, 289], 'poly_str': '1 -12 65 -204 289 ', 'primitive_models': [], 'principal_polarization_count': 2, 'q': 17, 'real_poly': [1, -12, 31], 'simple_distinct': ['2.17.am_cn'], 'simple_factors': ['2.17.am_cnA'], 'simple_multiplicities': [1], 'singular_primes': ['2,F^2-5*F-2*V+25'], 'size': 2, 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.225.1', 'splitting_polynomials': [[1, 1, 2, -1, 1]], 'twist_count': 4, 'twists': [['2.17.m_cn', '2.289.ao_adp', 2], ['2.17.a_o', '2.4913.a_anxi', 3], ['2.17.m_cn', '2.4913.a_anxi', 3], ['2.17.a_o', '2.24137569.abbuq_lmtoeo', 6], ['2.17.a_ao', '2.582622237229761.agsymqu_toxctwprsdy', 12]], 'weak_equivalence_count': 2, 'zfv_index': 4, 'zfv_index_factorization': [[2, 2]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_pic_size': 1, 'zfv_plus_index': 2, 'zfv_plus_index_factorization': [[2, 1]], 'zfv_plus_norm': 9, 'zfv_singular_count': 2, 'zfv_singular_primes': ['2,F^2-5*F-2*V+25']}
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av_fq_endalg_factors • Show schema
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id: 11116
{'base_label': '2.17.am_cn', 'extension_degree': 1, 'extension_label': '2.17.am_cn', 'multiplicity': 1}
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id: 11117
{'base_label': '2.17.am_cn', 'extension_degree': 2, 'extension_label': '2.289.ao_adp', 'multiplicity': 1}
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id: 11118
{'base_label': '2.17.am_cn', 'extension_degree': 3, 'extension_label': '2.4913.a_anxi', 'multiplicity': 1}
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id: 11119
{'base_label': '2.17.am_cn', 'extension_degree': 6, 'extension_label': '1.24137569.anxi', 'multiplicity': 2}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '4.0.225.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.17.am_cn', 'galois_group': '4T2', 'places': [['11', '9', '9', '4'], ['11', '5', '14', '10']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '4.0.225.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.289.ao_adp', 'galois_group': '4T2', 'places': [['11', '9', '9', '4'], ['11', '5', '14', '10']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '4.0.225.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.4913.a_anxi', 'galois_group': '4T2', 'places': [['11', '9', '9', '4'], ['11', '5', '14', '10']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.15.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.24137569.anxi', 'galois_group': '2T1', 'places': [['5', '1'], ['11', '1']]}