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av_fq_isog • Show schema
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{'abvar_count': 109, 'abvar_counts': [109, 30193, 4752400, 808961049, 138302871229, 23337401574400, 3937934738438341, 665416218448392489, 112457799488204352400, 19005057939452356391953], 'abvar_counts_str': '109 30193 4752400 808961049 138302871229 23337401574400 3937934738438341 665416218448392489 112457799488204352400 19005057939452356391953 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.146166291522335, 0.520500375144332], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 8, 'curve_counts': [8, 180, 2162, 28324, 372488, 4834950, 62757416, 815730244, 10604724986, 137859174900], 'curve_counts_str': '8 180 2162 28324 372488 4834950 62757416 815730244 10604724986 137859174900 ', 'curves': ['y^2=x^6+12*x^5+9*x^4+4*x^2+8*x+11', 'y^2=5*x^6+12*x^5+9*x^4+8*x^3+8*x^2+5*x+7', 'y^2=9*x^6+x^5+3*x^4+9*x^3+x^2+4*x+6', 'y^2=3*x^6+11*x^4+9*x^3+5*x^2+7*x+12', 'y^2=4*x^6+x^5+2*x^4+3*x^3+10*x^2+8', 'y^2=7*x^6+4*x^5+9*x^4+8*x^3+12*x^2+9*x+1', 'y^2=7*x^6+x^5+12*x^3+6*x^2+7*x+12', 'y^2=6*x^6+x^5+7*x^4+7*x^2+3*x+4', 'y^2=5*x^6+11*x^5+3*x^4+4*x^3+2*x^2+x+11', 'y^2=6*x^6+11*x^5+12*x^4+x^3+10*x^2+x+5', 'y^2=5*x^6+12*x^5+3*x^4+8*x^3+6*x^2+10*x+5', 'y^2=5*x^6+3*x^5+11*x^4+12*x^3+6*x^2+5*x+12'], 'dim1_distinct': 0, 'dim1_factors': 0, 'dim2_distinct': 1, 'dim2_factors': 1, 'dim3_distinct': 0, 'dim3_factors': 0, 'dim4_distinct': 0, 'dim4_factors': 0, 'dim5_distinct': 0, 'dim5_factors': 0, 'endomorphism_ring_count': 4, 'g': 2, 'galois_groups': ['4T2'], 'geom_dim1_distinct': 1, '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': 2, 'geometric_extension_degree': 3, 'geometric_galois_groups': ['2T1'], 'geometric_number_fields': ['2.0.4.1'], 'geometric_splitting_field': '2.0.4.1', 'geometric_splitting_polynomials': [[1, 0, 1]], 'group_structure_count': 1, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 12, 'is_cyclic': True, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 12, 'label': '2.13.ag_x', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 24, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [], 'number_fields': ['4.0.144.1'], 'p': 13, 'p_rank': 2, 'p_rank_deficit': 0, 'pic_prime_gens': [[1, 13, 1, 4]], 'poly': [1, -6, 23, -78, 169], 'poly_str': '1 -6 23 -78 169 ', 'primitive_models': [], 'principal_polarization_count': 12, 'q': 13, 'real_poly': [1, -6, -3], 'simple_distinct': ['2.13.ag_x'], 'simple_factors': ['2.13.ag_xA'], 'simple_multiplicities': [1], 'singular_primes': ['2,-F+V-5', '23,-F^2-4*F+2*V+2'], 'size': 8, 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.144.1', 'splitting_polynomials': [[1, 0, -1, 0, 1]], 'twist_count': 16, 'twists': [['2.13.g_x', '2.169.k_acr', 2], ['2.13.m_ck', '2.2197.abk_gzm', 3], ['2.13.ae_d', '2.28561.aje_bpod', 4], ['2.13.e_d', '2.28561.aje_bpod', 4], ['2.13.am_ck', '2.4826809.mbc_cfjsuo', 6], ['2.13.a_ak', '2.4826809.mbc_cfjsuo', 6], ['2.13.ak_by', '2.23298085122481.abeglpc_rjwnwmwwio', 12], ['2.13.ai_bq', '2.23298085122481.abeglpc_rjwnwmwwio', 12], ['2.13.ac_c', '2.23298085122481.abeglpc_rjwnwmwwio', 12], ['2.13.a_k', '2.23298085122481.abeglpc_rjwnwmwwio', 12], ['2.13.c_c', '2.23298085122481.abeglpc_rjwnwmwwio', 12], ['2.13.i_bq', '2.23298085122481.abeglpc_rjwnwmwwio', 12], ['2.13.k_by', '2.23298085122481.abeglpc_rjwnwmwwio', 12], ['2.13.a_ay', '2.542800770374370512771595361.alfgptgsrc_bkwrmykskfbghcwwjtko', 24], ['2.13.a_y', '2.542800770374370512771595361.alfgptgsrc_bkwrmykskfbghcwwjtko', 24]], 'weak_equivalence_count': 4, 'zfv_index': 92, 'zfv_index_factorization': [[2, 2], [23, 1]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_pic_size': 4, 'zfv_plus_index': 2, 'zfv_plus_index_factorization': [[2, 1]], 'zfv_plus_norm': 529, 'zfv_singular_count': 4, 'zfv_singular_primes': ['2,-F+V-5', '23,-F^2-4*F+2*V+2']}
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av_fq_endalg_factors • Show schema
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id: 9362
{'base_label': '2.13.ag_x', 'extension_degree': 1, 'extension_label': '2.13.ag_x', 'multiplicity': 1}
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id: 9363
{'base_label': '2.13.ag_x', 'extension_degree': 3, 'extension_label': '1.2197.as', 'multiplicity': 2}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0', '0', '0'], 'center': '4.0.144.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.13.ag_x', 'galois_group': '4T2', 'places': [['7', '1', '0', '0'], ['11', '1', '0', '0'], ['6', '1', '0', '0'], ['2', '1', '0', '0']]}
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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': '1.2197.as', 'galois_group': '2T1', 'places': [['8', '1'], ['5', '1']]}
