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av_fq_isog • Show schema
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{'abvar_count': 670, 'abvar_counts': [670, 127300, 46793470, 16942611600, 6140314766350, 2212741065343300, 798986725750556110, 288447540686741606400, 104126906202021945091390, 37589982524610807362282500], 'abvar_counts_str': '670 127300 46793470 16942611600 6140314766350 2212741065343300 798986725750556110 288447540686741606400 104126906202021945091390 37589982524610807362282500 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.633519705146006, 0.920823034645242], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 32, 'curve_counts': [32, 354, 6824, 130006, 2479832, 47033682, 893849408, 16983923806, 322686321536, 6131067736674], 'curve_counts_str': '32 354 6824 130006 2479832 47033682 893849408 16983923806 322686321536 6131067736674 ', 'curves': ['y^2=6*x^6+12*x^5+11*x^4+4*x^3+3*x^2+16*x+13', 'y^2=9*x^6+2*x^5+10*x^4+4*x^3+14*x^2+5*x+15', 'y^2=8*x^6+17*x^5+8*x^4+7*x^3+8*x^2+4*x+10', 'y^2=x^6+7*x^5+16*x^4+15*x^3+11*x+4'], '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': ['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': ['4.0.168192.4'], 'geometric_splitting_field': '4.0.168192.4', 'geometric_splitting_polynomials': [[46, -36, 14, 0, 1]], 'group_structure_count': 1, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 4, 'is_cyclic': True, 'is_geometrically_simple': True, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 4, 'label': '2.19.m_cq', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [], 'number_fields': ['4.0.168192.4'], 'p': 19, 'p_rank': 2, 'p_rank_deficit': 0, 'pic_prime_gens': [[1, 2, 1, 2], [1, 5, 1, 2]], 'poly': [1, 12, 68, 228, 361], 'poly_str': '1 12 68 228 361 ', 'primitive_models': [], 'principal_polarization_count': 4, 'q': 19, 'real_poly': [1, 12, 30], 'simple_distinct': ['2.19.m_cq'], 'simple_factors': ['2.19.m_cqA'], 'simple_multiplicities': [1], 'singular_primes': [], 'size': 4, 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.168192.4', 'splitting_polynomials': [[46, -36, 14, 0, 1]], 'twist_count': 2, 'twists': [['2.19.am_cq', '2.361.ai_aew', 2]], 'weak_equivalence_count': 1, 'zfv_index': 1, 'zfv_index_factorization': [], 'zfv_is_bass': True, 'zfv_is_maximal': True, 'zfv_pic_size': 4, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 292, 'zfv_singular_count': 0, 'zfv_singular_primes': []}
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av_fq_endalg_factors • Show schema
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{'base_label': '2.19.m_cq', 'extension_degree': 1, 'extension_label': '2.19.m_cq', 'multiplicity': 1}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0', '0', '0'], 'center': '4.0.168192.4', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.19.m_cq', 'galois_group': '4T3', 'places': [['11', '1', '0', '0'], ['2', '1', '0', '0'], ['131/19', '54/19', '7/19', '4/19'], ['93/19', '54/19', '7/19', '4/19']]}
