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av_fq_isog • Show schema
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{'abvar_count': 154, 'abvar_counts': [154, 84700, 24906112, 7026712000, 2017227550954, 582618715571200, 168383383307588218, 48662203092791904000, 14063141011230982642048, 4064229053264910897713500], 'abvar_counts_str': '154 84700 24906112 7026712000 2017227550954 582618715571200 168383383307588218 48662203092791904000 14063141011230982642048 4064229053264910897713500 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.177280642488854, 0.338793663196658], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 7, 'curve_counts': [7, 293, 5068, 84129, 1420727, 24137426, 410352215, 6975902401, 118588353436, 2015992733093], 'curve_counts_str': '7 293 5068 84129 1420727 24137426 410352215 6975902401 118588353436 2015992733093 ', 'curves': ['y^2=10*x^6+16*x^5+12*x^4+7*x^3+3*x^2+14*x+5', 'y^2=11*x^6+2*x^5+6*x^4+4*x^3+11*x^2+8*x+16', 'y^2=15*x^6+7*x^5+5*x^4+12*x^3+13*x^2+14*x+14', 'y^2=7*x^6+13*x^5+2*x^3+6*x^2+5*x+14'], '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': 2, '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': ['2.0.19.1', '2.0.52.1'], 'geometric_splitting_field': '4.0.976144.3', 'geometric_splitting_polynomials': [[77, -36, 37, -2, 1]], 'group_structure_count': 1, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 4, 'is_cyclic': True, 'is_geometrically_simple': False, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': False, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 4, 'label': '2.17.al_ck', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [], 'number_fields': ['2.0.19.1', '2.0.52.1'], 'p': 17, 'p_rank': 2, 'p_rank_deficit': 0, 'pic_prime_gens': [[2, 2, 1, 2], [1, 5, 1, 4]], 'poly': [1, -11, 62, -187, 289], 'poly_str': '1 -11 62 -187 289 ', 'primitive_models': [], 'principal_polarization_count': 6, 'q': 17, 'real_poly': [1, -11, 28], 'simple_distinct': ['1.17.ah', '1.17.ae'], 'simple_factors': ['1.17.ahA', '1.17.aeA'], 'simple_multiplicities': [1, 1], 'singular_primes': ['3,2*F^2-4*V+50'], 'size': 10, 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.976144.3', 'splitting_polynomials': [[77, -36, 37, -2, 1]], 'twist_count': 4, 'twists': [['2.17.ad_g', '2.289.d_lw', 2], ['2.17.d_g', '2.289.d_lw', 2], ['2.17.l_ck', '2.289.d_lw', 2]], 'weak_equivalence_count': 2, 'zfv_index': 9, 'zfv_index_factorization': [[3, 2]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_pic_size': 8, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 988, 'zfv_singular_count': 2, 'zfv_singular_primes': ['3,2*F^2-4*V+50']}
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av_fq_endalg_factors • Show schema
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id: 11443
{'base_label': '2.17.al_ck', 'extension_degree': 1, 'extension_label': '1.17.ah', 'multiplicity': 1}
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id: 11444
{'base_label': '2.17.al_ck', 'extension_degree': 1, 'extension_label': '1.17.ae', 'multiplicity': 1}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.19.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.17.ah', 'galois_group': '2T1', 'places': [['13', '1'], ['3', '1']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.52.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.17.ae', 'galois_group': '2T1', 'places': [['15', '1'], ['2', '1']]}