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av_fq_isog • Show schema
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{'abvar_count': 45, 'abvar_counts': [45, 3465, 123120, 5769225, 285493725, 13803229440, 675458784045, 33228526386825, 1629309326805360, 79798373057766825], 'abvar_counts_str': '45 3465 123120 5769225 285493725 13803229440 675458784045 33228526386825 1629309326805360 79798373057766825 ', 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.308124534521218, 0.560518859161838], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 6, 'curve_counts': [6, 68, 360, 2404, 16986, 117326, 820182, 5764036, 40375800, 282496868], 'curve_counts_str': '6 68 360 2404 16986 117326 820182 5764036 40375800 282496868 ', 'curves': ['y^2=4*x^6+2*x^4+2*x^3+x^2+2*x+6', 'y^2=x^6+2*x^5+6*x^4+x^3+4*x^2+6*x+4', 'y^2=5*x^6+3*x^5+3*x^4+2*x^3+3*x^2+3*x+5', 'y^2=x^6+x^4+2*x^3+x^2+1', 'y^2=x^6+4*x^4+2*x^3+3*x+2', 'y^2=2*x^6+3*x^4+2*x^3+3*x^2+2', 'y^2=5*x^6+2*x^4+3*x^3+2*x^2+5', 'y^2=3*x^6+6*x^4+5*x^3+2*x^2+2*x+2'], '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, 'endomorphism_ring_count': 6, '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': 4, 'geometric_extension_degree': 1, 'geometric_galois_groups': ['2T1', '2T1'], 'geometric_number_fields': ['2.0.19.1', '2.0.3.1'], 'geometric_splitting_field': '4.0.3249.1', 'geometric_splitting_polynomials': [[25, -5, -4, -1, 1]], 'group_structure_count': 2, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 8, 'is_geometrically_simple': False, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': False, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 8, 'label': '2.7.ac_l', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 6, 'newton_coelevation': 2, 'newton_elevation': 0, 'number_fields': ['2.0.19.1', '2.0.3.1'], 'p': 7, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, -2, 11, -14, 49], 'poly_str': '1 -2 11 -14 49 ', 'primitive_models': [], 'q': 7, 'real_poly': [1, -2, -3], 'simple_distinct': ['1.7.ad', '1.7.b'], 'simple_factors': ['1.7.adA', '1.7.bA'], 'simple_multiplicities': [1, 1], 'singular_primes': ['2,F^2-3*V', '3,9*F-V+10'], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.3249.1', 'splitting_polynomials': [[25, -5, -4, -1, 1]], 'twist_count': 12, 'twists': [['2.7.ae_r', '2.49.s_gh', 2], ['2.7.c_l', '2.49.s_gh', 2], ['2.7.e_r', '2.49.s_gh', 2], ['2.7.ai_bd', '2.343.q_abi', 3], ['2.7.b_c', '2.343.q_abi', 3], ['2.7.ah_ba', '2.117649.amm_dlzy', 6], ['2.7.ac_ab', '2.117649.amm_dlzy', 6], ['2.7.ab_c', '2.117649.amm_dlzy', 6], ['2.7.c_ab', '2.117649.amm_dlzy', 6], ['2.7.h_ba', '2.117649.amm_dlzy', 6], ['2.7.i_bd', '2.117649.amm_dlzy', 6]], 'weak_equivalence_count': 6, 'zfv_index': 48, 'zfv_index_factorization': [[2, 4], [3, 1]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 513, 'zfv_singular_count': 4, 'zfv_singular_primes': ['2,F^2-3*V', '3,9*F-V+10']}
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av_fq_endalg_factors • Show schema
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id: 7422
{'base_label': '2.7.ac_l', 'extension_degree': 1, 'extension_label': '1.7.ad', 'multiplicity': 1}
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id: 7423
{'base_label': '2.7.ac_l', 'extension_degree': 1, 'extension_label': '1.7.b', 'multiplicity': 1}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.19.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.7.ad', 'galois_group': '2T1', 'places': [['5', '1'], ['1', '1']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.3.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.7.b', 'galois_group': '2T1', 'places': [['2', '1'], ['4', '1']]}
