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av_fq_isog • Show schema
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{'abvar_count': 369, 'abvar_counts': [369, 136161, 47038644, 17159690025, 6131070216729, 2212634029358736, 799006684061789649, 288434882201789270025, 104127350298553606787604, 37590022002461387031459441], 'abvar_counts_str': '369 136161 47038644 17159690025 6131070216729 2212634029358736 799006684061789649 288434882201789270025 104127350298553606787604 37590022002461387031459441 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.279486410696411, 0.720513589303589], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 20, 'curve_counts': [20, 376, 6860, 131668, 2476100, 47031406, 893871740, 16983178468, 322687697780, 6131074175656], 'curve_counts_str': '20 376 6860 131668 2476100 47031406 893871740 16983178468 322687697780 6131074175656 ', 'curves': ['y^2=18*x^6+5*x^5+10*x^4+11*x^3+12*x^2+2*x+6', 'y^2=8*x^6+2*x^5+2*x^4+13*x^3+14*x^2+4*x+12', 'y^2=16*x^6+4*x^5+4*x^4+7*x^3+9*x^2+8*x+5', 'y^2=13*x^6+18*x^5+5*x^4+5*x^3+11*x^2+11*x+8', 'y^2=14*x^6+x^5+x^4+11*x^3+4*x^2+7*x+17', 'y^2=9*x^6+2*x^5+2*x^4+3*x^3+8*x^2+14*x+15', 'y^2=3*x^6+16*x^5+3*x^4+18*x^2+10*x+18', 'y^2=6*x^6+13*x^5+6*x^4+17*x^2+x+17', 'y^2=3*x^6+17*x^5+15*x^4+15*x^3+8*x^2+7*x+18', 'y^2=3*x^6+9*x^5+2*x^4+11*x^3+10*x+14', 'y^2=6*x^6+18*x^5+4*x^4+3*x^3+x+9', 'y^2=7*x^6+5*x^5+13*x^4+5*x^3+17*x^2+3*x+12', 'y^2=7*x^6+4*x^5+6*x^4+11*x^3+12*x^2+16*x+4', 'y^2=14*x^6+8*x^5+12*x^4+3*x^3+5*x^2+13*x+8', 'y^2=5*x^6+3*x^5+x^4+3*x^3+10*x^2+16*x+13', 'y^2=13*x^6+11*x^5+13*x^4+5*x^3+x^2+x+4', 'y^2=7*x^6+3*x^5+7*x^4+10*x^3+2*x^2+2*x+8', 'y^2=15*x^6+12*x^5+5*x^4+6*x^3+2*x^2+5*x+3', 'y^2=2*x^6+16*x^5+5*x^4+3*x^3+18*x^2+14*x+3', 'y^2=4*x^6+13*x^5+10*x^4+6*x^3+17*x^2+9*x+6', 'y^2=13*x^6+3*x^5+11*x^4+8*x^3+11*x^2+11*x+3', 'y^2=7*x^6+6*x^5+3*x^4+16*x^3+3*x^2+3*x+6', 'y^2=13*x^6+14*x^5+7*x^4+2*x^3+8*x^2+x+4', 'y^2=7*x^6+9*x^5+14*x^4+4*x^3+16*x^2+2*x+8', 'y^2=14*x^6+18*x^5+2*x^4+15*x^3+10*x^2+14*x+5', 'y^2=9*x^6+17*x^5+4*x^4+11*x^3+x^2+9*x+10', 'y^2=2*x^6+8*x^5+4*x^4+6*x^3+13*x^2+7*x+4', 'y^2=4*x^6+16*x^5+8*x^4+12*x^3+7*x^2+14*x+8', 'y^2=16*x^6+3*x^5+4*x^4+2*x^3+8*x^2+8*x+7', 'y^2=13*x^6+6*x^5+8*x^4+4*x^3+16*x^2+16*x+14'], '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': 4, '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': ['2.0.155.1'], 'geometric_splitting_field': '2.0.155.1', 'geometric_splitting_polynomials': [[39, -1, 1]], 'group_structure_count': 2, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 30, 'is_cyclic': False, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 30, 'label': '2.19.a_h', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 4, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [3], 'number_fields': ['4.0.384400.1'], 'p': 19, 'p_rank': 2, 'p_rank_deficit': 0, 'pic_prime_gens': [[1, 5, 1, 2], [1, 5, 2, 2], [1, 23, 1, 4]], 'poly': [1, 0, 7, 0, 361], 'poly_str': '1 0 7 0 361 ', 'primitive_models': [], 'principal_polarization_count': 36, 'q': 19, 'real_poly': [1, 0, -31], 'simple_distinct': ['2.19.a_h'], 'simple_factors': ['2.19.a_hA'], 'simple_multiplicities': [1], 'singular_primes': ['3,5*V+5', '3,2*F-3*V-2'], 'size': 36, 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.384400.1', 'splitting_polynomials': [[81, 0, -13, 0, 1]], 'twist_count': 2, 'twists': [['2.19.a_ah', '2.130321.bzu_boppb', 4]], 'weak_equivalence_count': 4, 'zfv_index': 9, 'zfv_index_factorization': [[3, 2]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_pic_size': 16, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 2025, 'zfv_singular_count': 4, 'zfv_singular_primes': ['3,5*V+5', '3,2*F-3*V-2']}
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av_fq_endalg_factors • Show schema
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id: 11876
{'base_label': '2.19.a_h', 'extension_degree': 1, 'extension_label': '2.19.a_h', 'multiplicity': 1}
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id: 11877
{'base_label': '2.19.a_h', 'extension_degree': 2, 'extension_label': '1.361.h', 'multiplicity': 2}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '4.0.384400.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.19.a_h', 'galois_group': '4T2', 'places': [['0', '5', '0', '1'], ['0', '17', '0', '17']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.155.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.361.h', 'galois_group': '2T1', 'places': [['7', '1'], ['11', '1']]}
