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av_fq_isog • Show schema
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{'abvar_count': 21, 'abvar_counts': [21, 441, 15876, 423801, 9762501, 252047376, 6103437501, 153077345001, 3814701171876, 95306425775001], 'abvar_counts_str': '21 441 15876 423801 9762501 252047376 6103437501 153077345001 3814701171876 95306425775001 ', 'angle_corank': 2, 'angle_rank': 0, 'angles': [0.166666666666667, 0.833333333333333], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 6, 'curve_counts': [6, 16, 126, 676, 3126, 16126, 78126, 391876, 1953126, 9759376], 'curve_counts_str': '6 16 126 676 3126 16126 78126 391876 1953126 9759376 ', 'curves': ['y^2=x^6+x^5+2'], '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': 2, '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': 1, 'geometric_extension_degree': 6, 'geometric_galois_groups': ['1T1'], 'geometric_number_fields': ['1.1.1.1'], 'geometric_splitting_field': '1.1.1.1', 'geometric_splitting_polynomials': [[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': False, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': True, 'jacobian_count': 1, 'label': '2.5.a_af', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 4, 'max_twist_degree': 60, 'newton_coelevation': 0, 'newton_elevation': 2, 'noncyclic_primes': [], 'number_fields': ['4.0.3600.3'], 'p': 5, 'p_rank': 0, 'p_rank_deficit': 2, 'poly': [1, 0, -5, 0, 25], 'poly_str': '1 0 -5 0 25 ', 'primitive_models': [], 'q': 5, 'real_poly': [1, 0, -15], 'simple_distinct': ['2.5.a_af'], 'simple_factors': ['2.5.a_afA'], 'simple_multiplicities': [1], 'singular_primes': ['5,4*F-13*V,8*V-15'], 'slopes': ['1/2A', '1/2B', '1/2C', '1/2D'], 'splitting_field': '4.0.3600.3', 'splitting_polynomials': [[25, 0, -5, 0, 1]], 'twist_count': 7, 'twists': [['2.5.a_k', '2.125.a_jq', 3], ['2.5.a_f', '2.625.by_cud', 4], ['2.5.a_ak', '2.244140625.adolw_ethnkqg', 12], ['2.5.a_f', '2.244140625.adolw_ethnkqg', 12], ['2.5.a_a', '2.59604644775390625.adefahce_dtljnejohvdgg', 24], ['2.5.af_p', '2.867361737988403547205962240695953369140625.acftlifizbmarjyhw_bwcobkdlhgadwryrvwzmbupxlwiydcg', 60], ['2.5.f_p', '2.867361737988403547205962240695953369140625.acftlifizbmarjyhw_bwcobkdlhgadwryrvwzmbupxlwiydcg', 60]], 'weak_equivalence_count': 2, 'zfv_index': 5, 'zfv_index_factorization': [[5, 1]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 25, 'zfv_singular_count': 3, 'zfv_singular_primes': ['5,4*F-13*V,8*V-15']}
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av_fq_endalg_factors • Show schema
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id: 6949
{'base_label': '2.5.a_af', 'extension_degree': 1, 'extension_label': '2.5.a_af', 'multiplicity': 1}
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id: 6950
{'base_label': '2.5.a_af', 'extension_degree': 2, 'extension_label': '1.25.af', 'multiplicity': 2}
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id: 6951
{'base_label': '2.5.a_af', 'extension_degree': 3, 'extension_label': '1.125.a', 'multiplicity': 2}
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id: 6952
{'base_label': '2.5.a_af', 'extension_degree': 6, 'extension_label': '1.15625.jq', 'multiplicity': 2}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0'], 'center': '4.0.3600.3', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.5.a_af', 'galois_group': '4T2', 'places': [['0', '1', '0', '0']]}
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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': '1.25.af', 'galois_group': '2T1', 'places': [['0', '0']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0'], 'center': '2.0.20.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.125.a', 'galois_group': '2T1', 'places': [['0', '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': '1.15625.jq', 'galois_group': '1T1', 'places': [['0']]}
