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av_fq_isog • Show schema
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{'abvar_count': 390, 'abvar_counts': [390, 152100, 47037510, 16967667600, 6131062089750, 2212527347000100, 799006686615512310, 288450136357577625600, 104127350298506049185190, 37589922348369637055062500], 'abvar_counts_str': '390 152100 47037510 16967667600 6131062089750 2212527347000100 799006686615512310 288450136357577625600 104127350298506049185190 37589922348369637055062500 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.381841948991705, 0.618158051008295], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 20, 'curve_counts': [20, 418, 6860, 130198, 2476100, 47029138, 893871740, 16984076638, 322687697780, 6131057921698], 'curve_counts_str': '20 418 6860 130198 2476100 47029138 893871740 16984076638 322687697780 6131057921698 ', 'curves': ['y^2=16*x^6+2*x^5+12*x^4+7*x^3+15*x^2+11*x+2', 'y^2=13*x^6+4*x^5+5*x^4+14*x^3+11*x^2+3*x+4', 'y^2=17*x^6+18*x^5+7*x^3+14*x^2+13*x+16', 'y^2=15*x^6+17*x^5+14*x^3+9*x^2+7*x+13', 'y^2=15*x^5+9*x^4+2*x^3+9*x^2+1', 'y^2=11*x^5+18*x^4+4*x^3+18*x^2+2', 'y^2=x^6+3*x^5+7*x^4+x^3+2*x^2+5*x', 'y^2=2*x^6+6*x^5+14*x^4+2*x^3+4*x^2+10*x', 'y^2=12*x^6+12*x^5+8*x^4+17*x^3+3*x^2+5*x+6', 'y^2=5*x^6+5*x^5+16*x^4+15*x^3+6*x^2+10*x+12', 'y^2=11*x^6+10*x^5+11*x^4+12*x^3+18*x^2+12*x+4', 'y^2=3*x^6+x^5+3*x^4+5*x^3+17*x^2+5*x+8', 'y^2=6*x^6+4*x^5+8*x^3+11*x^2+14*x+12', 'y^2=12*x^6+8*x^5+16*x^3+3*x^2+9*x+5', 'y^2=16*x^6+10*x^5+14*x^4+7*x^3+2*x^2+7*x+18', 'y^2=13*x^6+x^5+9*x^4+14*x^3+4*x^2+14*x+17', 'y^2=5*x^6+5*x^5+7*x^4+x^3+12*x^2+17*x+18', 'y^2=10*x^6+10*x^5+14*x^4+2*x^3+5*x^2+15*x+17', 'y^2=3*x^6+16*x^5+4*x^4+15*x^3+6*x^2+7*x+9', 'y^2=6*x^6+13*x^5+8*x^4+11*x^3+12*x^2+14*x+18', 'y^2=2*x^6+8*x^5+2*x^4+15*x^3+15*x+4', 'y^2=4*x^6+16*x^5+4*x^4+11*x^3+11*x+8', 'y^2=6*x^6+10*x^5+2*x^4+2*x^3+7*x^2+9*x+17', 'y^2=12*x^6+x^5+4*x^4+4*x^3+14*x^2+18*x+15', 'y^2=18*x^6+5*x^5+10*x^4+18*x^3+x^2+12*x', 'y^2=17*x^6+10*x^5+x^4+17*x^3+2*x^2+5*x', 'y^2=14*x^6+6*x^5+11*x^4+18*x^3+x^2+3*x+18', 'y^2=9*x^6+12*x^5+3*x^4+17*x^3+2*x^2+6*x+17'], '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': ['2.0.660.1'], 'geometric_splitting_field': '2.0.660.1', 'geometric_splitting_polynomials': [[165, 0, 1]], 'group_structure_count': 1, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 28, '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': 28, 'label': '2.19.a_bc', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 4, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [], 'number_fields': ['4.0.6969600.6'], 'p': 19, 'p_rank': 2, 'p_rank_deficit': 0, 'pic_prime_gens': [[1, 2, 1, 4], [1, 3, 1, 4], [1, 3, 2, 4], [1, 5, 1, 8]], 'poly': [1, 0, 28, 0, 361], 'poly_str': '1 0 28 0 361 ', 'primitive_models': [], 'principal_polarization_count': 32, 'q': 19, 'real_poly': [1, 0, -10], 'simple_distinct': ['2.19.a_bc'], 'simple_factors': ['2.19.a_bcA'], 'simple_multiplicities': [1], 'singular_primes': [], 'size': 64, 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.6969600.6', 'splitting_polynomials': [[361, 0, 28, 0, 1]], 'twist_count': 2, 'twists': [['2.19.a_abc', '2.130321.aeu_pbgo', 4]], 'weak_equivalence_count': 1, 'zfv_index': 1, 'zfv_index_factorization': [], 'zfv_is_bass': True, 'zfv_is_maximal': True, 'zfv_pic_size': 64, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 4356, 'zfv_singular_count': 0, 'zfv_singular_primes': []}
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av_fq_endalg_factors • Show schema
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id: 11836
{'base_label': '2.19.a_bc', 'extension_degree': 1, 'extension_label': '2.19.a_bc', 'multiplicity': 1}
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id: 11837
{'base_label': '2.19.a_bc', 'extension_degree': 2, 'extension_label': '1.361.bc', 'multiplicity': 2}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '4.0.6969600.6', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.19.a_bc', 'galois_group': '4T2', 'places': [['0', '28/19', '0', '1/19'], ['0', '1', '0', '0']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.660.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.361.bc', 'galois_group': '2T1', 'places': [['14', '1'], ['5', '1']]}
