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av_fq_isog • Show schema
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{'abvar_count': 159, 'abvar_counts': [159, 25281, 4831056, 828230841, 137857884639, 23339102075136, 3937376396194071, 665432979367970025, 112455406967022579024, 19004796357139832160321], 'abvar_counts_str': '159 25281 4831056 828230841 137857884639 23339102075136 3937376396194071 665432979367970025 112455406967022579024 19004796357139832160321 ', 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.180475001423291, 0.819524998576709], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 14, 'curve_counts': [14, 148, 2198, 28996, 371294, 4835302, 62748518, 815750788, 10604499374, 137857277428], 'curve_counts_str': '14 148 2198 28996 371294 4835302 62748518 815750788 10604499374 137857277428 ', 'curves': ['y^2=2*x^6+6*x^5+4*x^3+4*x^2+12*x+8', 'y^2=4*x^6+12*x^5+8*x^3+8*x^2+11*x+3', 'y^2=9*x^6+3*x^5+x^4+2*x^3+3*x^2+12*x+2', 'y^2=5*x^6+6*x^5+2*x^4+4*x^3+6*x^2+11*x+4', 'y^2=3*x^6+10*x^5+3*x^4+5*x^3+9*x^2+9*x+8', 'y^2=12*x^6+7*x^5+9*x^4+6*x^3+11*x^2+8*x+5'], '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': 2, 'geometric_extension_degree': 2, 'geometric_galois_groups': ['2T1'], 'geometric_number_fields': ['2.0.555.1'], 'geometric_splitting_field': '2.0.555.1', 'geometric_splitting_polynomials': [[139, -1, 1]], 'group_structure_count': 1, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 6, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 6, 'label': '2.13.a_al', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 4, 'newton_coelevation': 2, 'newton_elevation': 0, 'number_fields': ['4.0.308025.1'], 'p': 13, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, 0, -11, 0, 169], 'poly_str': '1 0 -11 0 169 ', 'primitive_models': [], 'q': 13, 'real_poly': [1, 0, -37], 'simple_distinct': ['2.13.a_al'], 'simple_factors': ['2.13.a_alA'], 'simple_multiplicities': [1], 'singular_primes': ['2,9*F-11*V-9'], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.308025.1', 'splitting_polynomials': [[169, 0, -11, 0, 1]], 'twist_count': 2, 'twists': [['2.13.a_l', '2.28561.qs_fyed', 4]], 'weak_equivalence_count': 2, 'zfv_index': 4, 'zfv_index_factorization': [[2, 2]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_plus_index': 2, 'zfv_plus_index_factorization': [[2, 1]], 'zfv_plus_norm': 225, 'zfv_singular_count': 2, 'zfv_singular_primes': ['2,9*F-11*V-9']}
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av_fq_endalg_factors • Show schema
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id: 9178
{'base_label': '2.13.a_al', 'extension_degree': 1, 'extension_label': '2.13.a_al', 'multiplicity': 1}
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id: 9179
{'base_label': '2.13.a_al', 'extension_degree': 2, 'extension_label': '1.169.al', 'multiplicity': 2}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '4.0.308025.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.13.a_al', 'galois_group': '4T2', 'places': [['0', '11/13', '0', '168/13'], ['0', '1', '0', '0']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.555.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.169.al', 'galois_group': '2T1', 'places': [['7', '1'], ['5', '1']]}
