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av_fq_isog • Show schema
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{'abvar_count': 241, 'abvar_counts': [241, 75433, 23232400, 7002671689, 2012814185521, 582670078873600, 168394279875386449, 48660749902665336969, 14063216057168968704400, 4064235815326600040506153], 'abvar_counts_str': '241 75433 23232400 7002671689 2012814185521 582670078873600 168394279875386449 48660749902665336969 14063216057168968704400 4064235815326600040506153 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.0886875362892974, 0.755354202955964], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 16, 'curve_counts': [16, 260, 4726, 83844, 1417616, 24139550, 410378768, 6975694084, 118588986262, 2015996087300], 'curve_counts_str': '16 260 4726 83844 1417616 24139550 410378768 6975694084 118588986262 2015996087300 ', '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': 6, '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': 3, 'geometric_galois_groups': ['2T1'], 'geometric_number_fields': ['2.0.4.1'], 'geometric_splitting_field': '2.0.4.1', 'geometric_splitting_polynomials': [[1, 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': '2.17.ac_an', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 24, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [], 'number_fields': ['4.0.144.1'], 'p': 17, 'p_rank': 2, 'p_rank_deficit': 0, 'pic_prime_gens': [[1, 3, 1, 2], [1, 13, 1, 2], [1, 5, 1, 4]], 'poly': [1, -2, -13, -34, 289], 'poly_str': '1 -2 -13 -34 289 ', 'primitive_models': [], 'principal_polarization_count': 0, 'q': 17, 'real_poly': [1, -2, -47], 'simple_distinct': ['2.17.ac_an'], 'simple_factors': ['2.17.ac_anA'], 'simple_multiplicities': [1], 'singular_primes': ['2,-F-V+3', '13,7*F-4*V-6'], 'size': 15, 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.144.1', 'splitting_polynomials': [[1, 0, -1, 0, 1]], 'twist_count': 16, 'twists': [['2.17.c_an', '2.289.abe_xn', 2], ['2.17.e_bm', '2.4913.ahg_bbpu', 3], ['2.17.ai_bv', '2.83521.mk_bdvn', 4], ['2.17.i_bv', '2.83521.mk_bdvn', 4], ['2.17.ae_bm', '2.24137569.cye_edukug', 6], ['2.17.a_be', '2.24137569.cye_edukug', 6], ['2.17.aq_du', '2.582622237229761.hyzudw_ycphxevazog', 12], ['2.17.ak_by', '2.582622237229761.hyzudw_ycphxevazog', 12], ['2.17.ag_s', '2.582622237229761.hyzudw_ycphxevazog', 12], ['2.17.a_abe', '2.582622237229761.hyzudw_ycphxevazog', 12], ['2.17.g_s', '2.582622237229761.hyzudw_ycphxevazog', 12], ['2.17.k_by', '2.582622237229761.hyzudw_ycphxevazog', 12], ['2.17.q_du', '2.582622237229761.hyzudw_ycphxevazog', 12], ['2.17.a_aq', '2.339448671314611904643504117121.apesvayaelse_dnrxcwqxcswgsvnhpnypcg', 24], ['2.17.a_q', '2.339448671314611904643504117121.apesvayaelse_dnrxcwqxcswgsvnhpnypcg', 24]], 'weak_equivalence_count': 6, 'zfv_index': 208, 'zfv_index_factorization': [[2, 4], [13, 1]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_pic_size': 8, 'zfv_plus_index': 4, 'zfv_plus_index_factorization': [[2, 2]], 'zfv_plus_norm': 169, 'zfv_singular_count': 4, 'zfv_singular_primes': ['2,-F-V+3', '13,7*F-4*V-6']}
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av_fq_endalg_factors • Show schema
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id: 10915
{'base_label': '2.17.ac_an', 'extension_degree': 1, 'extension_label': '2.17.ac_an', 'multiplicity': 1}
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id: 10916
{'base_label': '2.17.ac_an', 'extension_degree': 3, 'extension_label': '1.4913.adq', 'multiplicity': 2}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '4.0.144.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.17.ac_an', 'galois_group': '4T2', 'places': [['4', '1', '13', '0'], ['13', '1', '4', '0']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.4.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.4913.adq', 'galois_group': '2T1', 'places': [['4', '1'], ['13', '1']]}