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av_fq_isog • Show schema
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{'abvar_count': 61, 'abvar_counts': [61, 793, 14884, 381433, 9530701, 251539600, 6060308581, 152176891113, 3820312611844, 95362793192953], 'abvar_counts_str': '61 793 14884 381433 9530701 251539600 6060308581 152176891113 3820312611844 95362793192953 ', 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.519083049016233, 0.8142502843171], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 10, 'curve_counts': [10, 32, 118, 612, 3050, 16094, 77570, 389572, 1955998, 9765152], 'curve_counts_str': '10 32 118 612 3050 16094 77570 389572 1955998 9765152 ', 'curves': ['y^2=3*x^6+2*x^5+4*x^4+x^3+2*x^2+x+1', 'y^2=x^6+3*x^5+x^4+3*x^3+1'], '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': 3, 'geometric_galois_groups': ['2T1'], 'geometric_number_fields': ['2.0.4.1'], 'geometric_splitting_field': '2.0.4.1', 'geometric_splitting_polynomials': [[1, 0, 1]], 'group_structure_count': 1, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 2, 'is_cyclic': True, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 2, 'label': '2.5.e_l', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 24, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [], 'number_fields': ['4.0.144.1'], 'p': 5, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, 4, 11, 20, 25], 'poly_str': '1 4 11 20 25 ', 'primitive_models': [], 'q': 5, 'real_poly': [1, 4, 1], 'simple_distinct': ['2.5.e_l'], 'simple_factors': ['2.5.e_lA'], 'simple_multiplicities': [1], 'singular_primes': ['11,-22*F-3*V-12'], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.144.1', 'splitting_polynomials': [[1, 0, -1, 0, 1]], 'twist_count': 16, 'twists': [['2.5.ae_l', '2.25.g_l', 2], ['2.5.ai_ba', '2.125.ai_kg', 3], ['2.5.ac_ab', '2.625.ao_aqn', 4], ['2.5.c_ab', '2.625.ao_aqn', 4], ['2.5.a_ag', '2.15625.sa_exfy', 6], ['2.5.i_ba', '2.15625.sa_exfy', 6], ['2.5.ag_s', '2.244140625.acroe_djppwqg', 12], ['2.5.ae_o', '2.244140625.acroe_djppwqg', 12], ['2.5.ac_c', '2.244140625.acroe_djppwqg', 12], ['2.5.a_g', '2.244140625.acroe_djppwqg', 12], ['2.5.c_c', '2.244140625.acroe_djppwqg', 12], ['2.5.e_o', '2.244140625.acroe_djppwqg', 12], ['2.5.g_s', '2.244140625.acroe_djppwqg', 12], ['2.5.a_ai', '2.59604644775390625.akvffce_bhpsebnknczgg', 24], ['2.5.a_i', '2.59604644775390625.akvffce_bhpsebnknczgg', 24]], 'weak_equivalence_count': 2, 'zfv_index': 11, 'zfv_index_factorization': [[11, 1]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 121, 'zfv_singular_count': 2, 'zfv_singular_primes': ['11,-22*F-3*V-12']}
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av_fq_endalg_factors • Show schema
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id: 6885
{'base_label': '2.5.e_l', 'extension_degree': 1, 'extension_label': '2.5.e_l', 'multiplicity': 1}
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id: 6886
{'base_label': '2.5.e_l', 'extension_degree': 3, 'extension_label': '1.125.ae', 'multiplicity': 2}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '4.0.144.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.5.e_l', 'galois_group': '4T2', 'places': [['2', '1', '3', '0'], ['3', '1', '2', '0']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.4.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.125.ae', 'galois_group': '2T1', 'places': [['3', '1'], ['2', '1']]}
