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av_fq_isog • Show schema
{'abvar_count': 80, 'abvar_counts': [80, 14080, 396080, 68710400, 3844000000, 261482510080, 23767175392880, 1897727379046400, 151706966810040080, 12116859741184000000], 'abvar_counts_str': '80 14080 396080 68710400 3844000000 261482510080 23767175392880 1897727379046400 151706966810040080 12116859741184000000 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 2, 'angle_rank': 2, 'angles': [0.172732979143934, 0.335169663345628, 0.627267020856067, 0.735169663345628], 'center_dim': 8, 'cohen_macaulay_max': 3, 'curve_count': 3, 'curve_counts': [3, 15, 21, 119, 268, 675, 2271, 6719, 19893, 58850], 'curve_counts_str': '3 15 21 119 268 675 2271 6719 19893 58850 ', 'curves': ['y^2=2*x^10+2*x^9+x^5+x^2+2*x', 'x*y+t^2=y^3+x^2*z-y^2*z+y*z^2+z^3+x*y*t+y^2*t=0'], 'dim1_distinct': 0, 'dim1_factors': 0, 'dim2_distinct': 0, 'dim2_factors': 0, 'dim3_distinct': 0, 'dim3_factors': 0, 'dim4_distinct': 1, 'dim4_factors': 1, 'dim5_distinct': 0, 'dim5_factors': 0, 'endomorphism_ring_count': 16, 'g': 4, 'galois_groups': ['8T10'], 'geom_dim1_distinct': 0, 'geom_dim1_factors': 0, 'geom_dim2_distinct': 1, 'geom_dim2_factors': 2, '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': 5, 'geometric_galois_groups': ['4T3'], 'geometric_number_fields': ['4.0.1525.1'], 'geometric_splitting_field': '4.0.1525.1', 'geometric_splitting_polynomials': [[5, -5, 6, -2, 1]], 'group_structure_count': 5, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 1, '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': 2, 'label': '4.3.ab_d_af_q', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 30, 'newton_coelevation': 6, 'newton_elevation': 0, 'noncyclic_primes': [2], 'number_fields': ['8.0.58140625.2'], 'p': 3, 'p_rank': 4, 'p_rank_deficit': 0, 'pic_prime_gens': [[1, 5, 1, 10], [1, 11, 1, 10]], 'poly': [1, -1, 3, -5, 16, -15, 27, -27, 81], 'poly_str': '1 -1 3 -5 16 -15 27 -27 81 ', 'primitive_models': [], 'principal_polarization_count': 25, 'q': 3, 'real_poly': [1, -1, -9, 4, 16], 'simple_distinct': ['4.3.ab_d_af_q'], 'simple_factors': ['4.3.ab_d_af_qA'], 'simple_multiplicities': [1], 'singular_primes': ['11,F^4+F^3+27*F^2+6*V^3+18*V^2-3*V+34', '2,F^3-4*F^2+F-V^3+2*V-1'], 'size': 102, 'slopes': ['0A', '0B', '0C', '0D', '1A', '1B', '1C', '1D'], 'splitting_field': '8.0.58140625.2', 'splitting_polynomials': [[25, -25, -10, 5, 11, -7, 4, -3, 1]], 'twist_count': 10, 'twists': [['4.3.b_d_f_q', '4.9.f_bf_dr_om', 2], ['4.3.ag_x_aci_er', '4.243.y_hg_jkq_ksyo', 5], ['4.3.e_d_ak_abd', '4.243.y_hg_jkq_ksyo', 5], ['4.3.ae_d_k_abd', '4.59049.ahs_gcoy_abvcyfw_bibcvuda', 10], ['4.3.a_f_a_n', '4.59049.ahs_gcoy_abvcyfw_bibcvuda', 10], ['4.3.g_x_ci_er', '4.59049.ahs_gcoy_abvcyfw_bibcvuda', 10], ['4.3.d_c_d_n', '4.14348907.bcqy_plkbxc_fmrvuofbk_bkfobdtsvvoo', 15], ['4.3.a_af_a_n', '4.3486784401.jxzk_czkohczs_ojxodrvxtkq_cfzfanqnrjgurmk', 20], ['4.3.ad_c_ad_n', '4.205891132094649.ascoqa_adsmjphgqhfg_ihfwgqqthawdnga_ihgdtzbnjpekccadimbjy', 30]], 'weak_equivalence_count': 24, 'zfv_index': 704, 'zfv_index_factorization': [[2, 6], [11, 1]], 'zfv_is_bass': False, 'zfv_is_maximal': False, 'zfv_pic_size': 20, 'zfv_plus_index': 4, 'zfv_plus_index_factorization': [[2, 2]], 'zfv_plus_norm': 1936, 'zfv_singular_count': 4, 'zfv_singular_primes': ['11,F^4+F^3+27*F^2+6*V^3+18*V^2-3*V+34', '2,F^3-4*F^2+F-V^3+2*V-1']} - av_fq_endalg_factors • Show schema
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av_fq_endalg_data • Show schema
{'brauer_invariants': ['0', '0'], 'center': '8.0.58140625.2', 'center_dim': 8, 'divalg_dim': 1, 'extension_label': '4.3.ab_d_af_q', 'galois_group': '8T10', 'places': [['2', '0', '2', '2', '2', '0', '0', '0'], ['2', '1', '2', '1', '2', '0', '0', '0']]} -
av_fq_endalg_data • Show schema
{'brauer_invariants': ['0', '0'], 'center': '4.0.1525.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.243.m_w', 'galois_group': '4T3', 'places': [['2', '0', '2', '1'], ['1', '1', '1', '1']]}
Abelian variety isogeny class data - 4.3.ab_d_af_q