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av_fq_isog • Show schema
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{'abvar_count': 14, 'abvar_counts': [14, 84, 1064, 8736, 52514, 536256, 4428914, 43365504, 391199816, 3500898324], 'abvar_counts_str': '14 84 1064 8736 52514 536256 4428914 43365504 391199816 3500898324 ', 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.304086723984696, 0.833333333333333], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 5, 'curve_counts': [5, 9, 38, 105, 215, 738, 2021, 6609, 19874, 59289], 'curve_counts_str': '5 9 38 105 215 738 2021 6609 19874 59289 ', 'curves': ['y^2=x^6+2*x^4+x'], 'dim1_distinct': 2, 'dim1_factors': 2, 'dim2_distinct': 0, 'dim2_factors': 0, 'dim3_distinct': 0, 'dim3_factors': 0, 'dim4_distinct': 0, 'dim4_factors': 0, 'dim5_distinct': 0, 'dim5_factors': 0, 'endomorphism_ring_count': 2, 'g': 2, 'galois_groups': ['2T1', '2T1'], 'geom_dim1_distinct': 2, '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': 3, 'geometric_extension_degree': 6, 'geometric_galois_groups': ['1T1', '2T1'], 'geometric_number_fields': ['1.1.1.1', '2.0.8.1'], 'geometric_splitting_field': '2.0.8.1', 'geometric_splitting_polynomials': [[2, 0, 1]], 'group_structure_count': 1, 'has_geom_ss_factor': True, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 1, 'is_cyclic': True, 'is_geometrically_simple': False, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': False, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 1, 'label': '2.3.b_a', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 4, 'max_twist_degree': 6, 'newton_coelevation': 1, 'newton_elevation': 1, 'noncyclic_primes': [], 'number_fields': ['2.0.8.1', '2.0.3.1'], 'p': 3, 'p_rank': 1, 'p_rank_deficit': 1, 'poly': [1, 1, 0, 3, 9], 'poly_str': '1 1 0 3 9 ', 'primitive_models': [], 'q': 3, 'real_poly': [1, 1, -6], 'simple_distinct': ['1.3.ac', '1.3.d'], 'simple_factors': ['1.3.acA', '1.3.dA'], 'simple_multiplicities': [1, 1], 'singular_primes': ['5,8*F^2-7*F-V-14'], 'slopes': ['0A', '1/2A', '1/2B', '1A'], 'splitting_field': '4.0.576.1', 'splitting_polynomials': [[4, 0, -2, 0, 1]], 'twist_count': 6, 'twists': [['2.3.af_m', '2.9.ab_m', 2], ['2.3.ab_a', '2.9.ab_m', 2], ['2.3.f_m', '2.9.ab_m', 2], ['2.3.ac_g', '2.27.k_cc', 3], ['2.3.c_g', '2.729.i_abnm', 6]], 'weak_equivalence_count': 2, 'zfv_index': 25, 'zfv_index_factorization': [[5, 2]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 24, 'zfv_singular_count': 2, 'zfv_singular_primes': ['5,8*F^2-7*F-V-14']}
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av_fq_endalg_factors • Show schema
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id: 6564
{'base_label': '2.3.b_a', 'extension_degree': 1, 'extension_label': '1.3.ac', 'multiplicity': 1}
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id: 6565
{'base_label': '2.3.b_a', 'extension_degree': 1, 'extension_label': '1.3.d', 'multiplicity': 1}
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id: 6566
{'base_label': '2.3.b_a', 'extension_degree': 2, 'extension_label': '1.9.ad', 'multiplicity': 1}
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id: 6567
{'base_label': '2.3.b_a', 'extension_degree': 2, 'extension_label': '1.9.c', 'multiplicity': 1}
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id: 6568
{'base_label': '2.3.b_a', 'extension_degree': 3, 'extension_label': '1.27.a', 'multiplicity': 1}
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id: 6569
{'base_label': '2.3.b_a', 'extension_degree': 3, 'extension_label': '1.27.k', 'multiplicity': 1}
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id: 6570
{'base_label': '2.3.b_a', 'extension_degree': 6, 'extension_label': '1.729.abu', 'multiplicity': 1}
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id: 6571
{'base_label': '2.3.b_a', 'extension_degree': 6, 'extension_label': '1.729.cc', 'multiplicity': 1}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.8.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.3.ac', 'galois_group': '2T1', 'places': [['2', '1'], ['1', '1']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0'], 'center': '2.0.3.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.3.d', 'galois_group': '2T1', 'places': [['1', '1']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0'], 'center': '2.0.3.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.9.ad', 'galois_group': '2T1', 'places': [['1', '1']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.8.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.9.c', 'galois_group': '2T1', 'places': [['2', '1'], ['1', '1']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0'], 'center': '2.0.3.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.27.a', 'galois_group': '2T1', 'places': [['1', '1']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.8.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.27.k', 'galois_group': '2T1', 'places': [['2', '1'], ['1', '1']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.8.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.729.abu', 'galois_group': '2T1', 'places': [['1', '1'], ['2', '1']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['1/2'], 'center': '1.1.1.1', 'center_dim': 1, 'divalg_dim': 4, 'extension_label': '1.729.cc', 'galois_group': '1T1', 'places': [['0']]}
