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av_fq_isog • Show schema
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{'abvar_count': 240, 'abvar_counts': [240, 30720, 4944240, 818380800, 136971049200, 23315295467520, 3937735051689840, 665446208805273600, 112455347956379028720, 19004772804678878361600], 'abvar_counts_str': '240 30720 4944240 818380800 136971049200 23315295467520 3937735051689840 665446208805273600 112455347956379028720 19004772804678878361600 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.410543812488967, 0.812832958189001], 'center_dim': 4, 'cohen_macaulay_max': 3, 'curve_count': 18, 'curve_counts': [18, 182, 2250, 28654, 368898, 4830374, 62754234, 815767006, 10604493810, 137857106582], 'curve_counts_str': '18 182 2250 28654 368898 4830374 62754234 815767006 10604493810 137857106582 ', 'curves': ['y^2=4*x^6+6*x^5+2*x^4+4*x^3+4*x^2+11*x+9', 'y^2=3*x^6+9*x^5+6*x^4+8*x^3+6*x^2+4*x', 'y^2=10*x^6+5*x^5+12*x^4+10*x^3+10*x^2+8*x+9', 'y^2=x^5+3*x^4+3*x^2+x', 'y^2=3*x^6+x^5+7*x^4+9*x^3+7*x^2+x+3', 'y^2=x^6+6*x^5+9*x^4+8*x^3+5*x^2+12*x+9', 'y^2=x^6+12*x^5+3*x^4+6*x^3+x^2+10*x+1', 'y^2=3*x^6+12*x^5+12*x^4+10*x^3+12*x^2+12*x+3', 'y^2=5*x^6+8*x^5+4*x^4+9*x^3+x^2+4*x+1', 'y^2=3*x^6+9*x^5+6*x^4+4*x^3+5*x^2+3*x+3', 'y^2=10*x^5+3*x^4+4*x^3+12*x^2+7*x+12', 'y^2=4*x^6+10*x^5+3*x^4+9*x^3+11*x^2+12*x+4', 'y^2=x^6+6*x^5+x^4+8*x^3+7*x^2+x+12', 'y^2=4*x^6+12*x^5+5*x^4+7*x^3+2*x^2+4*x+4', 'y^2=7*x^6+2*x^5+9*x^4+11*x^3+4*x^2+x+4', 'y^2=12*x^6+6*x^5+4*x^3+3*x^2+x', 'y^2=10*x^6+2*x^5+7*x^4+2*x^3+3*x+4', 'y^2=x^6+4*x^5+4*x^4+2*x^3+4*x^2+11*x', 'y^2=10*x^6+5*x^5+3*x^4+5*x^3+7*x^2+11*x+10', 'y^2=10*x^6+8*x^5+10*x^4+x^3+5*x^2+12*x+9', 'y^2=5*x^6+7*x^4+7*x^3+7*x^2+5', 'y^2=7*x^6+9*x^5+8*x^4+12*x^3+7*x^2+8', 'y^2=2*x^5+9*x^4+x^3+12*x^2+5*x', 'y^2=11*x^5+9*x^4+10*x^3+7*x^2+6'], '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': 24, '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': ['2.0.3.1', '2.0.4.1'], 'geometric_splitting_field': '4.0.144.1', 'geometric_splitting_polynomials': [[1, 0, -1, 0, 1]], 'group_structure_count': 5, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 24, 'is_geometrically_simple': False, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': False, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 24, 'label': '2.13.e_o', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 12, 'newton_coelevation': 2, 'newton_elevation': 0, 'number_fields': ['2.0.3.1', '2.0.4.1'], 'p': 13, 'p_rank': 2, 'p_rank_deficit': 0, 'pic_prime_gens': [[1, 3, 1, 4], [2, 5, 1, 8]], 'poly': [1, 4, 14, 52, 169], 'poly_str': '1 4 14 52 169 ', 'primitive_models': [], 'principal_polarization_count': 32, 'q': 13, 'real_poly': [1, 4, -12], 'simple_distinct': ['1.13.ac', '1.13.g'], 'simple_factors': ['1.13.acA', '1.13.gA'], 'simple_multiplicities': [1, 1], 'singular_primes': ['2,-F^2-V'], 'size': 180, 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.144.1', 'splitting_polynomials': [[1, 0, -1, 0, 1]], 'twist_count': 24, 'twists': [['2.13.ai_bm', '2.169.m_eo', 2], ['2.13.ae_o', '2.169.m_eo', 2], ['2.13.i_bm', '2.169.m_eo', 2], ['2.13.b_ae', '2.2197.ca_eqo', 3], ['2.13.n_cq', '2.2197.ca_eqo', 3], ['2.13.ag_bi', '2.28561.do_bhco', 4], ['2.13.ac_s', '2.28561.do_bhco', 4], ['2.13.c_s', '2.28561.do_bhco', 4], ['2.13.g_bi', '2.28561.do_bhco', 4], ['2.13.an_cq', '2.4826809.fhc_qqcao', 6], ['2.13.al_ce', '2.4826809.fhc_qqcao', 6], ['2.13.ab_aq', '2.4826809.fhc_qqcao', 6], ['2.13.ab_ae', '2.4826809.fhc_qqcao', 6], ['2.13.b_aq', '2.4826809.fhc_qqcao', 6], ['2.13.l_ce', '2.4826809.fhc_qqcao', 6], ['2.13.al_cc', '2.23298085122481.fllyy_adjxboqopfm', 12], ['2.13.aj_bu', '2.23298085122481.fllyy_adjxboqopfm', 12], ['2.13.ad_ac', '2.23298085122481.fllyy_adjxboqopfm', 12], ['2.13.ab_g', '2.23298085122481.fllyy_adjxboqopfm', 12], ['2.13.b_g', '2.23298085122481.fllyy_adjxboqopfm', 12], ['2.13.d_ac', '2.23298085122481.fllyy_adjxboqopfm', 12], ['2.13.j_bu', '2.23298085122481.fllyy_adjxboqopfm', 12], ['2.13.l_cc', '2.23298085122481.fllyy_adjxboqopfm', 12]], 'weak_equivalence_count': 48, 'zfv_index': 512, 'zfv_index_factorization': [[2, 9]], 'zfv_is_bass': False, 'zfv_is_maximal': False, 'zfv_pic_size': 32, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 768, 'zfv_singular_count': 2, 'zfv_singular_primes': ['2,-F^2-V']}
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av_fq_endalg_factors • Show schema
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id: 9461
{'base_label': '2.13.e_o', 'extension_degree': 1, 'extension_label': '1.13.ac', 'multiplicity': 1}
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id: 9462
{'base_label': '2.13.e_o', 'extension_degree': 1, 'extension_label': '1.13.g', 'multiplicity': 1}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.3.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.13.ac', 'galois_group': '2T1', 'places': [['9', '1'], ['3', '1']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.4.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.13.g', 'galois_group': '2T1', 'places': [['8', '1'], ['5', '1']]}
