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av_fq_isog • Show schema
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{'abvar_count': 181, 'abvar_counts': [181, 126881, 48039391, 17109268445, 6138926902096, 2213531724084521, 799002280193961451, 288441556256912702645, 104127508988997935788441, 37589990922529927848066816], 'abvar_counts_str': '181 126881 48039391 17109268445 6138926902096 2213531724084521 799002280193961451 288441556256912702645 104127508988997935788441 37589990922529927848066816 ', 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.161616782251382, 0.288204697885281], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 7, 'curve_counts': [7, 351, 7003, 131283, 2479272, 47050491, 893866813, 16983571443, 322688189557, 6131069106406], 'curve_counts_str': '7 351 7003 131283 2479272 47050491 893866813 16983571443 322688189557 6131069106406 ', 'curves': ['y^2=18*x^6+2*x^5+16*x^4+2*x^3+11*x^2+13*x+3', 'y^2=15*x^6+5*x^5+18*x^4+10*x^3+11*x^2+15'], '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': ['4T1'], 'geom_dim1_distinct': 0, 'geom_dim1_factors': 0, 'geom_dim2_distinct': 1, 'geom_dim2_factors': 1, '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': ['4T1'], 'geometric_number_fields': ['4.0.21125.1'], 'geometric_splitting_field': '4.0.21125.1', 'geometric_splitting_polynomials': [[61, -16, 16, -1, 1]], 'group_structure_count': 1, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 2, 'is_cyclic': True, 'is_geometrically_simple': True, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 2, 'label': '2.19.an_db', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [], 'number_fields': ['4.0.21125.1'], 'p': 19, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, -13, 79, -247, 361], 'poly_str': '1 -13 79 -247 361 ', 'primitive_models': [], 'q': 19, 'real_poly': [1, -13, 41], 'simple_distinct': ['2.19.an_db'], 'simple_factors': ['2.19.an_dbA'], 'simple_multiplicities': [1], 'singular_primes': [], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.21125.1', 'splitting_polynomials': [[61, -16, 16, -1, 1]], 'twist_count': 2, 'twists': [['2.19.n_db', '2.361.al_uv', 2]], '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': 845, 'zfv_singular_count': 0, 'zfv_singular_primes': []}
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av_fq_endalg_factors • Show schema
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{'base_label': '2.19.an_db', 'extension_degree': 1, 'extension_label': '2.19.an_db', 'multiplicity': 1}
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av_fq_endalg_data • Show schema
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id: 8823
{'brauer_invariants': ['0', '0', '0', '0'], 'center': '4.0.21125.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.19.an_db', 'galois_group': '4T1', 'places': [['11', '1', '0', '0'], ['1', '1', '0', '0'], ['271/19', '48/19', '4/19', '18/19'], ['194/19', '27/19', '7/19', '3/19']]}
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id: 1631480
{'brauer_invariants': ['0', '0', '0', '0'], 'center': '4.0.21125.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.19.an_db', 'galois_group': '4T1', 'places': [['11', '1', '0', '0'], ['1', '1', '0', '0'], ['234/19', '183/19', '58/19', '14/19'], ['194/19', '27/19', '7/19', '3/19']]}
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id: 1637489
{'brauer_invariants': ['0', '0', '0', '0'], 'center': '4.0.21125.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.19.an_db', 'galois_group': '4T1', 'places': [['11', '1', '0', '0'], ['1', '1', '0', '0'], ['169/19', '224/19', '6/19', '8/19'], ['194/19', '27/19', '7/19', '3/19']]}