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av_fq_isog • Show schema
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{'abvar_count': 4, 'abvar_counts': [4, 40, 52, 400, 1804, 3640, 13108, 64800, 244348, 992200], 'abvar_counts_str': '4 40 52 400 1804 3640 13108 64800 244348 992200 ', 'angle_rank': 1, 'angles': [0.25, 0.615026728081308], 'center_dim': 4, 'curve_count': 2, 'curve_counts': [2, 8, 8, 24, 52, 56, 100, 256, 476, 968], 'curve_counts_str': '2 8 8 24 52 56 100 256 476 968 ', 'curves': ['y^2+x*y=x^5+x^3+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, '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': 4, 'geometric_galois_groups': ['1T1', '2T1'], 'geometric_number_fields': ['1.1.1.1', '2.0.7.1'], 'geometric_splitting_field': '2.0.7.1', 'geometric_splitting_polynomials': [[2, -1, 1]], 'has_geom_ss_factor': True, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 1, 'is_geometrically_simple': False, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': False, 'is_squarefree': True, 'jacobian_count': 1, 'label': '2.2.ab_c', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 4, 'max_twist_degree': 8, 'number_fields': ['2.0.4.1', '2.0.7.1'], 'p': 2, 'p_rank': 1, 'p_rank_deficit': 1, 'pic_prime_gens': [[1, 2, 1, 2]], 'poly': [1, -1, 2, -2, 4], 'poly_str': '1 -1 2 -2 4 ', 'primitive_models': [], 'principal_polarization_count': 0, 'q': 2, 'real_poly': [1, -1, -2], 'simple_distinct': ['1.2.ac', '1.2.b'], 'simple_factors': ['1.2.acA', '1.2.bA'], 'simple_multiplicities': [1, 1], 'size': 3, 'slopes': ['0A', '1/2A', '1/2B', '1A'], 'splitting_field': '4.0.784.1', 'splitting_polynomials': [[4, 0, -3, 0, 1]], 'twist_count': 6, 'twists': [['2.2.ad_g', '2.4.d_i', 2], ['2.2.b_c', '2.4.d_i', 2], ['2.2.d_g', '2.4.d_i', 2], ['2.2.ad_g', '2.16.h_y', 4], ['2.2.ab_e', '2.256.ab_asm', 8], ['2.2.b_e', '2.256.ab_asm', 8]], 'zfv_index': 9, 'zfv_index_factorization': [[3, 2]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 28}
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av_fq_endalg_factors • Show schema
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id: 6442
{'base_label': '2.2.ab_c', 'extension_degree': 1, 'extension_label': '1.2.ac', 'multiplicity': 1}
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id: 6443
{'base_label': '2.2.ab_c', 'extension_degree': 1, 'extension_label': '1.2.b', 'multiplicity': 1}
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id: 6444
{'base_label': '2.2.ab_c', 'extension_degree': 2, 'extension_label': '1.4.a', 'multiplicity': 1}
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id: 6445
{'base_label': '2.2.ab_c', 'extension_degree': 2, 'extension_label': '1.4.d', 'multiplicity': 1}
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id: 6446
{'base_label': '2.2.ab_c', 'extension_degree': 4, 'extension_label': '1.16.ab', 'multiplicity': 1}
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id: 6447
{'base_label': '2.2.ab_c', 'extension_degree': 4, 'extension_label': '1.16.i', 'multiplicity': 1}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0'], 'center': '2.0.4.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.2.ac', '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': '2.0.7.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.2.b', 'galois_group': '2T1', 'places': [['0', '1'], ['1', '1']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0'], 'center': '2.0.4.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.4.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': '2.0.7.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.4.d', 'galois_group': '2T1', 'places': [['1', '1'], ['0', '1']]}
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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': '1.16.ab', 'galois_group': '2T1', 'places': [['0', '1'], ['1', '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': '1.16.i', 'galois_group': '1T1', 'places': [['0']]}