Formats: - HTML - YAML - JSON - 2026-03-21T01:37:01.668640
Query: /api/av_fq_isog/?_offset=0
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{'abvar_count': 552, 'abvar_counts': [552, 150144, 44970336, 16999303680, 6144094760952, 2212364967008256, 798983341885074072, 288449064390365521920, 104127008503898603470176, 37589946817160558622885504], 'abvar_counts_str': '552 150144 44970336 16999303680 6144094760952 2212364967008256 798983341885074072 288449064390365521920 104127008503898603470176 37589946817160558622885504 ', 'all_polarized_product': True, 'all_unpolarized_product': True, 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.611823923823199, 0.651731832911273], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 27, 'curve_counts': [27, 413, 6552, 130441, 2481357, 47025686, 893845623, 16984013521, 322686638568, 6131061912653], 'curve_counts_str': '27 413 6552 130441 2481357 47025686 893845623 16984013521 322686638568 6131061912653 ', 'curves': [], 'dim1_distinct': 2, 'dim1_factors': 2, 'dim2_distinct': 0, 'dim2_factors': 0, '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': ['2T1', '2T1'], 'geom_dim1_distinct': 2, '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': 4, 'geometric_extension_degree': 1, 'geometric_galois_groups': ['2T1', '2T1'], 'geometric_number_fields': ['2.0.67.1', '2.0.15.1'], 'geometric_splitting_field': '4.0.1010025.3', 'geometric_splitting_polynomials': [[169, 0, 41, 0, 1]], 'group_structure_count': 2, 'has_geom_ss_factor': False, 'has_jacobian': -1, 'has_principal_polarization': 1, 'hyp_count': 0, 'id': 10108, 'is_cyclic': False, 'is_geometrically_simple': False, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': False, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 0, 'label': '2.19.h_by', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [2], 'number_fields': ['2.0.67.1', '2.0.15.1'], 'p': 19, 'p_rank': 2, 'p_rank_deficit': 0, 'pic_prime_gens': [[2, 3, 1, 2]], 'poly': [1, 7, 50, 133, 361], 'poly_str': '1 7 50 133 361 ', 'primitive_models': [], 'principal_polarization_count': 4, 'q': 19, 'real_poly': [1, 7, 12], 'simple_distinct': ['1.19.d', '1.19.e'], 'simple_factors': ['1.19.dA', '1.19.eA'], 'simple_multiplicities': [1, 1], 'singular_primes': ['2,-3*F-1'], 'size': 4, 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.1010025.3', 'splitting_polynomials': [[169, 0, 41, 0, 1]], 'twist_count': 4, 'twists': [['2.19.ah_by', '2.361.bz_cai', 2], ['2.19.ab_ba', '2.361.bz_cai', 2], ['2.19.b_ba', '2.361.bz_cai', 2]], 'weak_equivalence_count': 2, 'zfv_index': 2, 'zfv_index_factorization': [[2, 1]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_pic_size': 2, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 4020, 'zfv_singular_count': 2, 'zfv_singular_primes': ['2,-3*F-1']}