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av_fq_isog • Show schema
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{'abvar_count': 393, 'abvar_counts': [393, 154449, 47042100, 16921586889, 6131061313953, 2212959172410000, 799006685094178233, 288448326666476832969, 104127350298390928170900, 37589912835451086832486209], 'abvar_counts_str': '393 154449 47042100 16921586889 6131061313953 2212959172410000 799006685094178233 288448326666476832969 104127350298390928170900 37589912835451086832486209 ', 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.401848606133825, 0.598151393866175], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 20, 'curve_counts': [20, 424, 6860, 129844, 2476100, 47038318, 893871740, 16983970084, 322687697780, 6131056370104], 'curve_counts_str': '20 424 6860 129844 2476100 47038318 893871740 16983970084 322687697780 6131056370104 ', 'curves': ['y^2=8*x^6+17*x^5+7*x^4+7*x^3+9*x^2+x+10', 'y^2=16*x^6+15*x^5+14*x^4+14*x^3+18*x^2+2*x+1', 'y^2=17*x^6+12*x^5+5*x^3+4*x^2+18*x+4', 'y^2=15*x^6+5*x^5+10*x^3+8*x^2+17*x+8', 'y^2=10*x^6+13*x^5+9*x^4+18*x^3+8*x^2+8*x+4', 'y^2=x^6+7*x^5+18*x^4+17*x^3+16*x^2+16*x+8', 'y^2=14*x^6+7*x^5+18*x^4+9*x^3+6*x^2+3*x+14', 'y^2=9*x^6+14*x^5+17*x^4+18*x^3+12*x^2+6*x+9', 'y^2=8*x^6+14*x^4+11*x^3+6*x^2+15*x+11', 'y^2=16*x^6+9*x^4+3*x^3+12*x^2+11*x+3', 'y^2=12*x^6+15*x^5+8*x^4+8*x^3+11*x^2+2*x+18', 'y^2=10*x^6+7*x^5+11*x^4+17*x^3+9*x^2+13*x+14', 'y^2=x^6+14*x^5+3*x^4+15*x^3+18*x^2+7*x+9', 'y^2=12*x^6+16*x^5+10*x^4+4*x^3+11*x^2+11*x+8'], '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': 1, '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': ['2.0.483.1'], 'geometric_splitting_field': '2.0.483.1', 'geometric_splitting_polynomials': [[121, -1, 1]], 'group_structure_count': 1, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 14, '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': 14, 'label': '2.19.a_bf', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 4, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [], 'number_fields': ['4.0.3732624.4'], 'p': 19, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, 0, 31, 0, 361], 'poly_str': '1 0 31 0 361 ', 'primitive_models': [], 'q': 19, 'real_poly': [1, 0, -7], 'simple_distinct': ['2.19.a_bf'], 'simple_factors': ['2.19.a_bfA'], 'simple_multiplicities': [1], 'singular_primes': [], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.3732624.4', 'splitting_polynomials': [[361, 0, 31, 0, 1]], 'twist_count': 2, 'twists': [['2.19.a_abf', '2.130321.ask_scbr', 4]], 'weak_equivalence_count': 1, 'zfv_index': 1, 'zfv_index_factorization': [], 'zfv_is_bass': True, 'zfv_is_maximal': True, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 4761, 'zfv_singular_count': 0, 'zfv_singular_primes': []}
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av_fq_endalg_factors • Show schema
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id: 11832
{'base_label': '2.19.a_bf', 'extension_degree': 1, 'extension_label': '2.19.a_bf', 'multiplicity': 1}
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id: 11833
{'base_label': '2.19.a_bf', 'extension_degree': 2, 'extension_label': '1.361.bf', 'multiplicity': 2}
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av_fq_endalg_data • Show schema
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id: 9220
{'brauer_invariants': ['0', '0', '0', '0'], 'center': '4.0.3732624.4', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.19.a_bf', 'galois_group': '4T2', 'places': [['11', '1', '0', '0'], ['8', '1', '0', '0'], ['17', '92/19', '17', '356/19'], ['11', '278/19', '3', '1/19']]}
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id: 1631504
{'brauer_invariants': ['0', '0', '0', '0'], 'center': '4.0.3732624.4', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.19.a_bf', 'galois_group': '4T2', 'places': [['11', '1', '0', '0'], ['8', '1', '0', '0'], ['7', '248/19', '17', '8/19'], ['8', '216/19', '15', '360/19']]}
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id: 1637513
{'brauer_invariants': ['0', '0', '0', '0'], 'center': '4.0.3732624.4', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.19.a_bf', 'galois_group': '4T2', 'places': [['11', '1', '0', '0'], ['8', '1', '0', '0'], ['6', '294/19', '1', '357/19'], ['14', '264/19', '1', '3/19']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.483.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.361.bf', 'galois_group': '2T1', 'places': [['15', '1'], ['3', '1']]}
