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av_fq_isog • Show schema
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{'abvar_count': 9, 'abvar_counts': [9, 81, 81, 81, 1089, 6561, 16641, 50625, 263169, 1185921], 'abvar_counts_str': '9 81 81 81 1089 6561 16641 50625 263169 1185921 ', 'angle_corank': 2, 'angle_rank': 0, 'angles': [0.5, 0.5], 'center_dim': 2, 'curve_count': 3, 'curve_counts': [3, 13, 9, 1, 33, 97, 129, 193, 513, 1153], 'curve_counts_str': '3 13 9 1 33 97 129 193 513 1153 ', 'curves': [], 'dim1_distinct': 1, 'dim1_factors': 2, 'dim2_distinct': 0, 'dim2_factors': 0, 'dim3_distinct': 0, 'dim3_factors': 0, 'dim4_distinct': 0, 'dim4_factors': 0, 'dim5_distinct': 0, 'dim5_factors': 0, 'g': 2, 'galois_groups': ['2T1'], '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': 1, 'geometric_extension_degree': 2, 'geometric_galois_groups': ['1T1'], 'geometric_number_fields': ['1.1.1.1'], 'geometric_splitting_field': '1.1.1.1', 'geometric_splitting_polynomials': [[0, 1]], 'has_geom_ss_factor': True, 'has_jacobian': -1, 'has_principal_polarization': 1, 'hyp_count': 0, 'is_cyclic': False, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': False, 'is_squarefree': False, 'is_supersingular': True, 'jacobian_count': 0, 'label': '2.2.a_e', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 4, 'max_twist_degree': 24, 'newton_coelevation': 0, 'newton_elevation': 2, 'noncyclic_primes': [3], 'number_fields': ['2.0.8.1'], 'p': 2, 'p_rank': 0, 'p_rank_deficit': 2, 'poly': [1, 0, 4, 0, 4], 'poly_str': '1 0 4 0 4 ', 'primitive_models': [], 'q': 2, 'real_poly': [1], 'simple_distinct': ['1.2.a'], 'simple_factors': ['1.2.aA', '1.2.aB'], 'simple_multiplicities': [2], 'slopes': ['1/2A', '1/2B', '1/2C', '1/2D'], 'splitting_field': '2.0.8.1', 'splitting_polynomials': [[2, 0, 1]], 'twist_count': 11, 'twists': [['2.2.a_ac', '2.8.a_q', 3], ['2.2.a_ae', '2.16.aq_ds', 4], ['2.2.ae_i', '2.256.acm_chc', 8], ['2.2.ac_e', '2.256.acm_chc', 8], ['2.2.a_a', '2.256.acm_chc', 8], ['2.2.c_e', '2.256.acm_chc', 8], ['2.2.e_i', '2.256.acm_chc', 8], ['2.2.a_c', '2.4096.ajw_bkjg', 12], ['2.2.ac_c', '2.16777216.ayge_imhifg', 24], ['2.2.c_c', '2.16777216.ayge_imhifg', 24]]}
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av_fq_endalg_factors • Show schema
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id: 6448
{'base_label': '2.2.a_e', 'extension_degree': 1, 'extension_label': '1.2.a', 'multiplicity': 2}
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id: 6449
{'base_label': '2.2.a_e', 'extension_degree': 2, 'extension_label': '1.4.e', 'multiplicity': 2}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0'], 'center': '2.0.8.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.2.a', 'galois_group': '2T1', 'places': [['0', '1']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['1/2'], 'center': '1.1.1.1', 'center_dim': 1, 'divalg_dim': 4, 'extension_label': '1.4.e', 'galois_group': '1T1', 'places': [['0']]}