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av_fq_isog • Show schema
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{'abvar_count': 1141, 'abvar_counts': [1141, 1822177, 2520441616, 3510054088569, 4807968191624101, 6582432748975046656, 9012034868651752643293, 12337504629735990109480425, 16890047899007416053217450384, 23122483379459232977924226461377], 'abvar_counts_str': '1141 1822177 2520441616 3510054088569 4807968191624101 6582432748975046656 9012034868651752643293 12337504629735990109480425 16890047899007416053217450384 23122483379459232977924226461377 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.00249485507009777, 0.669161521736764], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 32, 'curve_counts': [32, 1332, 49754, 1872868, 69335072, 2565524022, 94931598752, 3512477380036, 129961694308178, 4808584312690932], 'curve_counts_str': '32 1332 49754 1872868 69335072 2565524022 94931598752 3512477380036 129961694308178 4808584312690932 ', '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': 3, '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': ['2.0.7.1'], 'geometric_splitting_field': '2.0.7.1', 'geometric_splitting_polynomials': [[2, -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': '2.37.ag_ab', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 12, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [], 'number_fields': ['4.0.441.1'], 'p': 37, 'p_rank': 2, 'p_rank_deficit': 0, 'pic_prime_gens': [[1, 7, 1, 2], [1, 7, 2, 2]], 'poly': [1, -6, -1, -222, 1369], 'poly_str': '1 -6 -1 -222 1369 ', 'primitive_models': [], 'principal_polarization_count': 0, 'q': 37, 'real_poly': [1, -6, -75], 'simple_distinct': ['2.37.ag_ab'], 'simple_factors': ['2.37.ag_abA'], 'simple_multiplicities': [1], 'singular_primes': ['2,-5*F-V+1'], 'size': 6, 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.441.1', 'splitting_polynomials': [[4, -2, -1, -1, 1]], 'twist_count': 6, 'twists': [['2.37.g_ab', '2.1369.abm_cx', 2], ['2.37.m_eg', '2.50653.abiq_rhkw', 3], ['2.37.am_eg', '2.2565726409.alnke_bxttvlic', 6], ['2.37.a_bm', '2.2565726409.alnke_bxttvlic', 6], ['2.37.a_abm', '2.6582952005840035281.abhbzbcmm_pvmavuywlznvtm', 12]], 'weak_equivalence_count': 3, 'zfv_index': 16, 'zfv_index_factorization': [[2, 4]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_pic_size': 4, 'zfv_plus_index': 4, 'zfv_plus_index_factorization': [[2, 2]], 'zfv_plus_norm': 1, 'zfv_singular_count': 2, 'zfv_singular_primes': ['2,-5*F-V+1']}
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av_fq_endalg_factors • Show schema
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id: 25433
{'base_label': '2.37.ag_ab', 'extension_degree': 1, 'extension_label': '2.37.ag_ab', 'multiplicity': 1}
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id: 25434
{'base_label': '2.37.ag_ab', 'extension_degree': 3, 'extension_label': '1.50653.ari', 'multiplicity': 2}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0', '0', '0'], 'center': '4.0.441.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.37.ag_ab', 'galois_group': '4T2', 'places': [['14', '1', '0', '0'], ['31', '1', '0', '0'], ['12', '1', '0', '0'], ['16', '1', '0', '0']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.7.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.50653.ari', 'galois_group': '2T1', 'places': [['8', '1'], ['28', '1']]}