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av_fq_isog • Show schema
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{'abvar_count': 416, 'abvar_counts': [416, 156416, 46746752, 16878537728, 6132724936416, 2213478901796864, 799011115532640608, 288444061111869059072, 104127146084432272051328, 37589936553370021182425856], 'abvar_counts_str': '416 156416 46746752 16878537728 6132724936416 2213478901796864 799011115532640608 288444061111869059072 104127146084432272051328 37589936553370021182425856 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.442674189895963, 0.59493004360342], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 21, 'curve_counts': [21, 429, 6816, 129513, 2476771, 47049366, 893876697, 16983718929, 322687064928, 6131060238589], 'curve_counts_str': '21 429 6816 129513 2476771 47049366 893876697 16983718929 322687064928 6131060238589 ', 'curves': ['y^2=9*x^6+x^5+4*x^4+15*x^3+7*x^2+10*x+11', 'y^2=5*x^6+2*x^5+2*x^4+15*x^3+16*x^2+4*x', 'y^2=3*x^6+2*x^5+14*x^4+10*x^2+12*x+18', 'y^2=4*x^6+16*x^4+8*x^3+10*x^2+4*x+3', 'y^2=16*x^6+13*x^5+5*x^4+12*x^3+4*x^2+7*x+10', 'y^2=5*x^6+16*x^5+2*x^4+x^3+14*x^2+14*x+5', 'y^2=11*x^6+11*x^5+8*x^4+11*x^3+7*x^2+13*x+4', 'y^2=14*x^5+4*x^4+5*x^3+9*x^2+16*x+3', 'y^2=4*x^6+16*x^5+11*x^4+18*x^3+9*x^2+14*x+3', 'y^2=13*x^6+7*x^5+6*x^4+5*x^3+18*x^2+3*x', 'y^2=2*x^6+10*x^5+13*x^4+x^3+18*x^2+4*x+13', 'y^2=13*x^6+2*x^5+4*x^4+11*x^3+16*x^2+6*x+2', 'y^2=12*x^6+6*x^5+7*x^4+18*x^3+8', 'y^2=10*x^6+18*x^5+x^4+3*x^3+2*x^2+15*x', 'y^2=15*x^6+13*x^5+13*x^4+16*x^3+3*x^2+x+12', 'y^2=15*x^6+15*x^5+14*x^4+17*x^3+11*x^2+7*x+2', 'y^2=2*x^6+11*x^5+4*x^4+11*x^3+8*x^2+9*x+10', 'y^2=7*x^6+17*x^5+7*x^4+17*x^3+16*x^2+7*x+6', 'y^2=x^6+2*x^5+x^4+12*x^3+5*x^2+18*x+14', 'y^2=17*x^6+x^5+16*x^4+14*x^3+17*x^2+17*x+11', 'y^2=7*x^6+11*x^5+6*x^4+12*x^3+16*x^2+11*x+4', 'y^2=8*x^6+4*x^5+2*x^4+9*x^3+x^2+16*x+10'], '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': ['4T3'], 'geom_dim1_distinct': 0, 'geom_dim1_factors': 0, 'geom_dim2_distinct': 1, 'geom_dim2_factors': 1, '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': ['4T3'], 'geometric_number_fields': ['4.0.369053.1'], 'geometric_splitting_field': '4.0.369053.1', 'geometric_splitting_polynomials': [[361, -19, 34, -1, 1]], 'group_structure_count': 2, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 22, 'is_cyclic': False, 'is_geometrically_simple': True, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 22, 'label': '2.19.b_bi', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [2], 'number_fields': ['4.0.369053.1'], 'p': 19, 'p_rank': 2, 'p_rank_deficit': 0, 'pic_prime_gens': [[1, 13, 1, 11]], 'poly': [1, 1, 34, 19, 361], 'poly_str': '1 1 34 19 361 ', 'primitive_models': [], 'principal_polarization_count': 22, 'q': 19, 'real_poly': [1, 1, -4], 'simple_distinct': ['2.19.b_bi'], 'simple_factors': ['2.19.b_biA'], 'simple_multiplicities': [1], 'singular_primes': ['2,F^2+F'], 'size': 22, 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.369053.1', 'splitting_polynomials': [[361, -19, 34, -1, 1]], 'twist_count': 2, 'twists': [['2.19.ab_bi', '2.361.cp_csu', 2]], 'weak_equivalence_count': 2, 'zfv_index': 2, 'zfv_index_factorization': [[2, 1]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_pic_size': 11, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 5108, 'zfv_singular_count': 2, 'zfv_singular_primes': ['2,F^2+F']}
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av_fq_endalg_factors • Show schema
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{'base_label': '2.19.b_bi', 'extension_degree': 1, 'extension_label': '2.19.b_bi', 'multiplicity': 1}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0', '0', '0'], 'center': '4.0.369053.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.19.b_bi', 'galois_group': '4T3', 'places': [['6', '1', '0', '0'], ['12', '1', '0', '0'], ['12', '357/19', '18/19', '1/19'], ['6', '357/19', '18/19', '1/19']]}
