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av_fq_isog • Show schema
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{'abvar_count': 288, 'abvar_counts': [288, 34560, 4481568, 818380800, 138396418848, 23276009352960, 3937281820367904, 665446208805273600, 112454834882446117152, 19004961132205294636800], 'abvar_counts_str': '288 34560 4481568 818380800 138396418848 23276009352960 3937281820367904 665446208805273600 112454834882446117152 19004961132205294636800 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.589456187511033, 0.687167041810999], 'center_dim': 4, 'cohen_macaulay_max': 2, 'curve_count': 20, 'curve_counts': [20, 202, 2036, 28654, 372740, 4822234, 62747012, 815767006, 10604445428, 137858472682], 'curve_counts_str': '20 202 2036 28654 372740 4822234 62747012 815767006 10604445428 137858472682 ', 'curves': ['y^2=9*x^6+10*x^5+6*x^4+2*x^3+2*x^2+4*x+9', 'y^2=7*x^5+x^4+7*x^3+x^2+7*x', 'y^2=12*x^6+6*x^5+4*x^4+10*x^3+4*x^2+6*x+12', 'y^2=12*x^6+11*x^5+6*x^4+6*x^3+6*x^2+11*x+12', 'y^2=x^6+4*x^5+7*x^4+9*x^3+7*x^2+4*x+1', 'y^2=3*x^6+12*x^5+x^4+11*x^3+10*x^2+4*x+10', 'y^2=3*x^6+11*x^5+3*x^4+4*x^3+3*x^2+11*x+3', 'y^2=11*x^6+10*x^5+8*x^4+5*x^3+5*x^2+10*x+2', 'y^2=3*x^6+8*x^5+9*x^4+2*x^3+9*x^2+8*x+3', 'y^2=5*x^6+7*x^5+12*x^4+9*x^2+8*x+8'], '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': 12, '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': 10, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 10, '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': 10, 'label': '2.13.g_bi', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 12, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [2, 3], '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, 2], [2, 5, 1, 4]], 'poly': [1, 6, 34, 78, 169], 'poly_str': '1 6 34 78 169 ', 'primitive_models': [], 'principal_polarization_count': 22, 'q': 13, 'real_poly': [1, 6, 8], 'simple_distinct': ['1.13.c', '1.13.e'], 'simple_factors': ['1.13.cA', '1.13.eA'], 'simple_multiplicities': [1, 1], 'singular_primes': ['2,F-1', '3,-6*F+2*V+7'], 'size': 40, 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.144.1', 'splitting_polynomials': [[1, 0, -1, 0, 1]], 'twist_count': 24, 'twists': [['2.13.ag_bi', '2.169.bg_vm', 2], ['2.13.ac_s', '2.169.bg_vm', 2], ['2.13.c_s', '2.169.bg_vm', 2], ['2.13.ad_ac', '2.2197.agg_qas', 3], ['2.13.j_bu', '2.2197.agg_qas', 3], ['2.13.ai_bm', '2.28561.do_bhco', 4], ['2.13.ae_o', '2.28561.do_bhco', 4], ['2.13.e_o', '2.28561.do_bhco', 4], ['2.13.i_bm', '2.28561.do_bhco', 4], ['2.13.al_cc', '2.4826809.agua_zqkzm', 6], ['2.13.aj_bu', '2.4826809.agua_zqkzm', 6], ['2.13.ab_g', '2.4826809.agua_zqkzm', 6], ['2.13.b_g', '2.4826809.agua_zqkzm', 6], ['2.13.d_ac', '2.4826809.agua_zqkzm', 6], ['2.13.l_cc', '2.4826809.agua_zqkzm', 6], ['2.13.an_cq', '2.23298085122481.fllyy_adjxboqopfm', 12], ['2.13.al_ce', '2.23298085122481.fllyy_adjxboqopfm', 12], ['2.13.ab_aq', '2.23298085122481.fllyy_adjxboqopfm', 12], ['2.13.ab_ae', '2.23298085122481.fllyy_adjxboqopfm', 12], ['2.13.b_aq', '2.23298085122481.fllyy_adjxboqopfm', 12], ['2.13.b_ae', '2.23298085122481.fllyy_adjxboqopfm', 12], ['2.13.l_ce', '2.23298085122481.fllyy_adjxboqopfm', 12], ['2.13.n_cq', '2.23298085122481.fllyy_adjxboqopfm', 12]], 'weak_equivalence_count': 16, 'zfv_index': 48, 'zfv_index_factorization': [[2, 4], [3, 1]], 'zfv_is_bass': False, 'zfv_is_maximal': False, 'zfv_pic_size': 8, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 1728, 'zfv_singular_count': 4, 'zfv_singular_primes': ['2,F-1', '3,-6*F+2*V+7']}
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av_fq_endalg_factors • Show schema
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id: 9515
{'base_label': '2.13.g_bi', 'extension_degree': 1, 'extension_label': '1.13.c', 'multiplicity': 1}
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id: 9516
{'base_label': '2.13.g_bi', 'extension_degree': 1, 'extension_label': '1.13.e', '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.c', 'galois_group': '2T1', 'places': [['3', '1'], ['9', '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.e', 'galois_group': '2T1', 'places': [['5', '1'], ['8', '1']]}
