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av_fq_isog • Show schema
{'abvar_count': 485, 'abvar_counts': [485, 235225, 148016180, 77771265625, 41426504746925, 21908789541792400, 11592836323801092845, 6132551618994447515625, 3244150909896344625805940, 1716155295546999558296955625], 'abvar_counts_str': '485 235225 148016180 77771265625 41426504746925 21908789541792400 11592836323801092845 6132551618994447515625 3244150909896344625805940 1716155295546999558296955625 ', 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.0332465154296823, 0.966753484570318], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 24, 'curve_counts': [24, 440, 12168, 277908, 6436344, 147996470, 3404825448, 78310234468, 1801152661464, 41426498280200], 'curve_counts_str': '24 440 12168 277908 6436344 147996470 3404825448 78310234468 1801152661464 41426498280200 ', 'curves': [], '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': ['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': 2, 'geometric_galois_groups': ['2T1'], 'geometric_number_fields': ['2.0.91.1'], 'geometric_splitting_field': '2.0.91.1', 'geometric_splitting_polynomials': [[23, -1, 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': False, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 0, 'label': '2.23.a_abt', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 12, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [], 'number_fields': ['4.0.132496.3'], 'p': 23, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, 0, -45, 0, 529], 'poly_str': '1 0 -45 0 529 ', 'primitive_models': [], 'q': 23, 'real_poly': [1, 0, -91], 'simple_distinct': ['2.23.a_abt'], 'simple_factors': ['2.23.a_abtA'], 'simple_multiplicities': [1], 'singular_primes': [], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.132496.3', 'splitting_polynomials': [[529, 0, -45, 0, 1]], 'twist_count': 6, 'twists': [['2.23.ac_bv', '2.279841.acwk_dhbff', 4], ['2.23.a_bt', '2.279841.acwk_dhbff', 4], ['2.23.c_bv', '2.279841.acwk_dhbff', 4], ['2.23.ab_aw', '2.21914624432020321.apoltge_ogzigoamdumg', 12], ['2.23.b_aw', '2.21914624432020321.apoltge_ogzigoamdumg', 12]], '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': 1, 'zfv_singular_count': 0, 'zfv_singular_primes': []} - av_fq_endalg_factors • Show schema
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av_fq_endalg_data • Show schema
{'brauer_invariants': ['0', '0'], 'center': '4.0.132496.3', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.23.a_abt', 'galois_group': '4T2', 'places': [['1', '0', '1', '0'], ['0', '0', '1', '0']]} -
av_fq_endalg_data • Show schema
{'brauer_invariants': ['0', '0'], 'center': '2.0.91.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.529.abt', 'galois_group': '2T1', 'places': [['0', '1'], ['22', '1']]}
Abelian variety isogeny class data - 2.23.a_abt