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av_fq_isog • Show schema
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{'abvar_count': 1122, 'abvar_counts': [1122, 3332340, 6351601608, 11708643117600, 21618240966561822, 39961060612417644480, 73885475977867364090478, 136613970741854388903120000, 252599300859512656322227936872, 467056157643378703137157336451700], 'abvar_counts_str': '1122 3332340 6351601608 11708643117600 21618240966561822 39961060612417644480 73885475977867364090478 136613970741854388903120000 252599300859512656322227936872 467056157643378703137157336451700 ', 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.183291501244178, 0.223975234504292], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 23, 'curve_counts': [23, 1801, 79886, 3424777, 147054413, 6321589234, 271819047551, 11688195573073, 502592546846378, 21611481844365961], 'curve_counts_str': '23 1801 79886 3424777 147054413 6321589234 271819047551 11688195573073 502592546846378 21611481844365961 ', 'curves': [], 'dim1_distinct': 2, '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, 'endomorphism_ring_count': 2, 'g': 2, 'galois_groups': ['2T1', '2T1'], 'geom_dim1_distinct': 2, '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': 4, 'geometric_extension_degree': 1, 'geometric_galois_groups': ['2T1', '2T1'], 'geometric_number_fields': ['2.0.51.1', '2.0.8.1'], 'geometric_splitting_field': '4.0.166464.4', 'geometric_splitting_polynomials': [[123, -30, 31, -2, 1]], 'group_structure_count': 1, 'has_geom_ss_factor': False, 'has_jacobian': -1, 'has_principal_polarization': 1, 'hyp_count': 0, 'is_cyclic': True, 'is_geometrically_simple': False, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': False, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 0, 'label': '2.43.av_ho', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [], 'number_fields': ['2.0.51.1', '2.0.8.1'], 'p': 43, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, -21, 196, -903, 1849], 'poly_str': '1 -21 196 -903 1849 ', 'primitive_models': [], 'q': 43, 'real_poly': [1, -21, 110], 'simple_distinct': ['1.43.al', '1.43.ak'], 'simple_factors': ['1.43.alA', '1.43.akA'], 'simple_multiplicities': [1, 1], 'singular_primes': ['3,-3*F-2*V+22'], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.166464.4', 'splitting_polynomials': [[123, -30, 31, -2, 1]], 'twist_count': 4, 'twists': [['2.43.ab_ay', '2.1849.abx_gfc', 2], ['2.43.b_ay', '2.1849.abx_gfc', 2], ['2.43.v_ho', '2.1849.abx_gfc', 2]], 'weak_equivalence_count': 2, 'zfv_index': 3, 'zfv_index_factorization': [[3, 1]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 3672, 'zfv_singular_count': 2, 'zfv_singular_primes': ['3,-3*F-2*V+22']}
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av_fq_endalg_factors • Show schema
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id: 33733
{'base_label': '2.43.av_ho', 'extension_degree': 1, 'extension_label': '1.43.al', 'multiplicity': 1}
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id: 33734
{'base_label': '2.43.av_ho', 'extension_degree': 1, 'extension_label': '1.43.ak', 'multiplicity': 1}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.51.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.43.al', 'galois_group': '2T1', 'places': [['37', '1'], ['5', '1']]}
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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': '1.43.ak', 'galois_group': '2T1', 'places': [['27', '1'], ['16', '1']]}