-
av_fq_isog • Show schema
{'abvar_count': 152, 'abvar_counts': [152, 27360, 4715648, 832291200, 138013881272, 23315295467520, 3938725904738168, 665370955154880000, 112455465963248062592, 19004889181346053336800], 'abvar_counts_str': '152 27360 4715648 832291200 138013881272 23315295467520 3938725904738168 665370955154880000 112455465963248062592 19004889181346053336800 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.187167041810999, 0.7438771458223], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 13, 'curve_counts': [13, 161, 2146, 29137, 371713, 4830374, 62770021, 815674753, 10604504938, 137857950761], 'curve_counts_str': '13 161 2146 29137 371713 4830374 62770021 815674753 10604504938 137857950761 ', 'curves': ['y^2=9*x^6+x^5+9*x^4+5*x^3+9*x^2+9*x+10', 'y^2=3*x^6+11*x^5+12*x^3+10*x^2+11*x+2', 'y^2=2*x^6+10*x^5+3*x^4+5*x^3+3*x^2+3*x+9', 'y^2=9*x^6+8*x^5+5*x^4+11*x^2+9*x+8', 'y^2=11*x^6+5*x^5+5*x^4+10*x^3+10*x^2+5*x+12', 'y^2=10*x^6+3*x^5+3*x^4+5*x^3+3*x', 'y^2=6*x^6+6*x^5+7*x^4+x^3+6*x^2+9*x+3', 'y^2=5*x^6+5*x^5+10*x^4+11*x^3+5*x^2+3*x+2', 'y^2=12*x^6+x^5+2*x^3+9*x^2+11*x', 'y^2=9*x^6+12*x^5+x^4+12*x^3+5*x^2+9*x+10', 'y^2=5*x^6+7*x^5+10*x^4+2*x^3+8*x+10', 'y^2=6*x^6+9*x^5+8*x^4+10*x^3+10*x^2+x+3'], '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': 8, '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': ['2.0.4.1', '2.0.3.1'], 'geometric_splitting_field': '4.0.144.1', 'geometric_splitting_polynomials': [[1, 0, -1, 0, 1]], 'group_structure_count': 2, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 12, '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': 12, 'label': '2.13.ab_ae', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 12, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [2], 'number_fields': ['2.0.4.1', '2.0.3.1'], 'p': 13, 'p_rank': 2, 'p_rank_deficit': 0, 'pic_prime_gens': [[2, 2, 1, 5], [1, 5, 1, 30], [2, 7, 1, 60]], 'poly': [1, -1, -4, -13, 169], 'poly_str': '1 -1 -4 -13 169 ', 'primitive_models': [], 'principal_polarization_count': 16, 'q': 13, 'real_poly': [1, -1, -30], 'simple_distinct': ['1.13.ag', '1.13.f'], 'simple_factors': ['1.13.agA', '1.13.fA'], 'simple_multiplicities': [1, 1], 'singular_primes': ['2,V+3', '11,-2*F^2+13*F+V-10', '3,-F+3*V+8'], 'size': 124, 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.144.1', 'splitting_polynomials': [[1, 0, -1, 0, 1]], 'twist_count': 24, 'twists': [['2.13.al_ce', '2.169.aj_mq', 2], ['2.13.b_ae', '2.169.aj_mq', 2], ['2.13.l_ce', '2.169.aj_mq', 2], ['2.13.an_cq', '2.2197.aca_eqo', 3], ['2.13.ae_o', '2.2197.aca_eqo', 3], ['2.13.aj_bu', '2.28561.wd_hvdw', 4], ['2.13.ab_g', '2.28561.wd_hvdw', 4], ['2.13.b_g', '2.28561.wd_hvdw', 4], ['2.13.j_bu', '2.28561.wd_hvdw', 4], ['2.13.ai_bm', '2.4826809.fhc_qqcao', 6], ['2.13.ab_aq', '2.4826809.fhc_qqcao', 6], ['2.13.b_aq', '2.4826809.fhc_qqcao', 6], ['2.13.e_o', '2.4826809.fhc_qqcao', 6], ['2.13.i_bm', '2.4826809.fhc_qqcao', 6], ['2.13.n_cq', '2.4826809.fhc_qqcao', 6], ['2.13.al_cc', '2.23298085122481.fllyy_adjxboqopfm', 12], ['2.13.ag_bi', '2.23298085122481.fllyy_adjxboqopfm', 12], ['2.13.ad_ac', '2.23298085122481.fllyy_adjxboqopfm', 12], ['2.13.ac_s', '2.23298085122481.fllyy_adjxboqopfm', 12], ['2.13.c_s', '2.23298085122481.fllyy_adjxboqopfm', 12], ['2.13.d_ac', '2.23298085122481.fllyy_adjxboqopfm', 12], ['2.13.g_bi', '2.23298085122481.fllyy_adjxboqopfm', 12], ['2.13.l_cc', '2.23298085122481.fllyy_adjxboqopfm', 12]], 'weak_equivalence_count': 8, 'zfv_index': 726, 'zfv_index_factorization': [[2, 1], [3, 1], [11, 2]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_pic_size': 60, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 432, 'zfv_singular_count': 6, 'zfv_singular_primes': ['2,V+3', '11,-2*F^2+13*F+V-10', '3,-F+3*V+8']} - av_fq_endalg_factors • Show schema
-
av_fq_endalg_data • Show schema
{'brauer_invariants': ['0', '0'], 'center': '2.0.4.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.13.ag', 'galois_group': '2T1', 'places': [['5', '1'], ['8', '1']]} -
av_fq_endalg_data • Show schema
{'brauer_invariants': ['0', '0'], 'center': '2.0.3.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.13.f', 'galois_group': '2T1', 'places': [['9', '1'], ['3', '1']]}
Abelian variety isogeny class data - 2.13.ab_ae