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av_fq_isog • Show schema
{'abvar_count': 4902, 'abvar_counts': [4902, 24029604, 128099657142, 645269935882896, 3255243548601824502, 16409522159897951608164, 82721210695563336577455462, 416997571754477610244938240000, 2102085018129621306415589123100102, 10596610560713798958689818923207548004], 'abvar_counts_str': '4902 24029604 128099657142 645269935882896 3255243548601824502 16409522159897951608164 82721210695563336577455462 416997571754477610244938240000 2102085018129621306415589123100102 10596610560713798958689818923207548004 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.0267434241184894, 0.973256575881511], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 72, 'curve_counts': [72, 4762, 357912, 25392646, 1804229352, 128099030362, 9095120158392, 645753451707838, 45848500718449032, 3255243546193767802], 'curve_counts_str': '72 4762 357912 25392646 1804229352 128099030362 9095120158392 645753451707838 45848500718449032 3255243546193767802 ', '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': ['2.0.564.1'], 'geometric_splitting_field': '2.0.564.1', 'geometric_splitting_polynomials': [[141, 0, 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': '2.71.a_afk', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 8, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [], 'number_fields': ['4.0.5089536.5'], 'p': 71, 'p_rank': 2, 'p_rank_deficit': 0, 'pic_prime_gens': [[1, 2, 1, 2], [1, 3, 1, 2], [1, 19, 1, 4]], 'poly': [1, 0, -140, 0, 5041], 'poly_str': '1 0 -140 0 5041 ', 'primitive_models': [], 'principal_polarization_count': 4, 'q': 71, 'real_poly': [1, 0, -282], 'simple_distinct': ['2.71.a_afk'], 'simple_factors': ['2.71.a_afkA'], 'simple_multiplicities': [1], 'singular_primes': [], 'size': 8, 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.5089536.5', 'splitting_polynomials': [[5041, 0, -140, 0, 1]], 'twist_count': 4, 'twists': [['2.71.a_fk', '2.25411681.abcee_lxlyuw', 4], ['2.71.ac_c', '2.645753531245761.agsbjqy_ujeeiebdpdu', 8], ['2.71.c_c', '2.645753531245761.agsbjqy_ujeeiebdpdu', 8]], 'weak_equivalence_count': 1, 'zfv_index': 1, 'zfv_index_factorization': [], 'zfv_is_bass': True, 'zfv_is_maximal': True, 'zfv_pic_size': 8, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 4, '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': '4.0.5089536.5', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.71.a_afk', 'galois_group': '4T2', 'places': [['0', '140/71', '0', '5040/71'], ['0', '1', '0', '0']]} -
av_fq_endalg_data • Show schema
{'brauer_invariants': ['0', '0'], 'center': '2.0.564.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.5041.afk', 'galois_group': '2T1', 'places': [['1', '1'], ['70', '1']]}
Abelian variety isogeny class data - 2.71.a_afk