Formats: - HTML - YAML - JSON - 2025-12-06T18:56:10.257034
Query: /api/av_fq_isog/?_offset=0
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{'abvar_count': 1797, 'abvar_counts': [1797, 7692957, 22160670489, 62251231105989, 174870196450697472, 491247081391884320853, 1379941504320192861211113, 3876267907943321538519195237, 10888439667180264563034515970573, 30585627308852919399954121459126272], 'abvar_counts_str': '1797 7692957 22160670489 62251231105989 174870196450697472 491247081391884320853 1379941504320192861211113 3876267907943321538519195237 10888439667180264563034515970573 30585627308852919399954121459126272 ', 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.0161938946932142, 0.302684961462326], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 31, 'curve_counts': [31, 2739, 148855, 7889411, 418154186, 22163827707, 1174707089699, 62259672066019, 3299763563132611, 174887470468463334], 'curve_counts_str': '31 2739 148855 7889411 418154186 22163827707 1174707089699 62259672066019 3299763563132611 174887470468463334 ', 'curves': ['y^2=14*x^6+6*x^5+2*x^4+7*x^3+31*x^2+50*x+11', 'y^2=12*x^6+9*x^5+35*x^4+24*x^3+23*x^2+17*x+27'], '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': ['4.0.105413.1'], 'geometric_splitting_field': '4.0.105413.1', 'geometric_splitting_polynomials': [[47, -15, 16, -2, 1]], 'group_structure_count': 1, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 2, 'id': 33686, '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': 2, 'label': '2.53.ax_iv', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [], 'number_fields': ['4.0.105413.1'], 'p': 53, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, -23, 229, -1219, 2809], 'poly_str': '1 -23 229 -1219 2809 ', 'primitive_models': [], 'q': 53, 'real_poly': [1, -23, 123], 'simple_distinct': ['2.53.ax_iv'], 'simple_factors': ['2.53.ax_ivA'], 'simple_multiplicities': [1], 'singular_primes': [], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.105413.1', 'splitting_polynomials': [[47, -15, 16, -2, 1]], 'twist_count': 2, 'twists': [['2.53.x_iv', '2.2809.act_cyj', 2]], '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': 77, 'zfv_singular_count': 0, 'zfv_singular_primes': []}