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av_fq_isog • Show schema
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{'abvar_count': 4, 'abvar_counts': [4, 48, 400, 7104, 52204, 518400, 4969276, 42311424, 392832400, 3514999728], 'abvar_counts_str': '4 48 400 7104 52204 518400 4969276 42311424 392832400 3514999728 ', 'angle_rank': 1, 'angles': [0.073451917327998, 0.740118583994665], 'center_dim': 4, 'curve_count': 3, 'curve_counts': [3, 5, 12, 89, 213, 710, 2271, 6449, 19956, 59525], 'curve_counts_str': '3 5 12 89 213 710 2271 6449 19956 59525 ', 'curves': ['y^2=2*x^5+x^4+x^3+x'], '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, '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': ['2.0.11.1'], 'geometric_splitting_field': '2.0.11.1', 'geometric_splitting_polynomials': [[3, -1, 1]], 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 1, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'jacobian_count': 1, 'label': '2.3.ab_ac', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 12, 'number_fields': ['4.0.1089.1'], 'p': 3, 'p_rank': 2, 'p_rank_deficit': 0, 'pic_prime_gens': [], 'poly': [1, -1, -2, -3, 9], 'poly_str': '1 -1 -2 -3 9 ', 'primitive_models': [], 'principal_polarization_count': 1, 'q': 3, 'real_poly': [1, -1, -8], 'simple_distinct': ['2.3.ab_ac'], 'simple_factors': ['2.3.ab_acA'], 'simple_multiplicities': [1], 'size': 2, 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.1089.1', 'splitting_polynomials': [[9, -3, -2, -1, 1]], 'twist_count': 6, 'twists': [['2.3.b_ac', '2.9.af_q', 2], ['2.3.c_h', '2.27.aq_eo', 3], ['2.3.ac_h', '2.729.au_chy', 6], ['2.3.a_f', '2.729.au_chy', 6], ['2.3.a_af', '2.531441.eam_gjkjm', 12]], 'zfv_index': 2, 'zfv_index_factorization': [[2, 1]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 4}
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av_fq_endalg_factors • Show schema
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id: 6516
{'base_label': '2.3.ab_ac', 'extension_degree': 1, 'extension_label': '2.3.ab_ac', 'multiplicity': 1}
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id: 6517
{'base_label': '2.3.ab_ac', 'extension_degree': 3, 'extension_label': '1.27.ai', 'multiplicity': 2}
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av_fq_endalg_data • Show schema
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id: 6339
{'brauer_invariants': ['0', '0'], 'center': '4.0.1089.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.3.ab_ac', 'galois_group': '4T2', 'places': [['1', '1', '0', '0'], ['1', '1/3', '2/3', '1/3']]}
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id: 1239183
{'brauer_invariants': ['0', '0'], 'center': '4.0.1089.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.3.ab_ac', 'galois_group': '4T2', 'places': [['1', '1', '0', '0'], ['2', '5/3', '1/3', '2/3']]}
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id: 2213297
{'brauer_invariants': ['0', '0'], 'center': '4.0.1089.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.3.ab_ac', 'galois_group': '4T2', 'places': [['1', '1', '0', '0'], ['2', '8/3', '1/3', '2/3']]}
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id: 2561463
{'brauer_invariants': ['0', '0'], 'center': '4.0.1089.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.3.ab_ac', 'galois_group': '4T2', 'places': [['1', '1', '0', '0'], ['1', '7/3', '8/3', '1/3']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.11.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.27.ai', 'galois_group': '2T1', 'places': [['2', '1'], ['0', '1']]}
