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av_fq_isog • Show schema
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{'abvar_count': 440, 'abvar_counts': [440, 98560, 23010680, 6970163200, 2021119806200, 582410251413760, 168367902291093560, 48662349062661734400, 14063069550411896362040, 4064228972070717119084800], 'abvar_counts_str': '440 98560 23010680 6970163200 2021119806200 582410251413760 168367902291093560 48662349062661734400 14063069550411896362040 4064228972070717119084800 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.577979130377369, 0.661206336803342], 'center_dim': 4, 'cohen_macaulay_max': 2, 'curve_count': 24, 'curve_counts': [24, 338, 4680, 83454, 1423464, 24128786, 410314488, 6975923326, 118587750840, 2015992692818], 'curve_counts_str': '24 338 4680 83454 1423464 24128786 410314488 6975923326 118587750840 2015992692818 ', 'curves': ['y^2=12*x^5+13*x^4+5*x^3+13*x^2+12*x', 'y^2=2*x^6+8*x^5+6*x^4+16*x^3+5*x^2+15*x+1', 'y^2=6*x^6+6*x^5+6*x^4+6*x^3+7*x^2+11*x+10', 'y^2=7*x^6+15*x^5+14*x^4+8*x^3+14*x^2+15*x+7', 'y^2=16*x^6+16*x^5+10*x^4+14*x^3+10*x^2+16*x+16', 'y^2=15*x^6+3*x^5+x^4+13*x^3+9*x^2+5*x+4', 'y^2=x^6+11*x^5+6*x^4+3*x^3+6*x^2+11*x+1', 'y^2=15*x^6+4*x^5+14*x^4+4*x^3+14*x^2+4*x+15'], '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': 7, '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', '2.0.52.1'], 'geometric_splitting_field': '4.0.2704.1', 'geometric_splitting_polynomials': [[9, 0, 7, 0, 1]], 'group_structure_count': 3, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 8, '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': 8, 'label': '2.17.g_bq', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 4, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [2], 'number_fields': ['2.0.4.1', '2.0.52.1'], 'p': 17, 'p_rank': 2, 'p_rank_deficit': 0, 'pic_prime_gens': [[1, 5, 1, 4], [2, 7, 1, 4]], 'poly': [1, 6, 42, 102, 289], 'poly_str': '1 6 42 102 289 ', 'primitive_models': [], 'principal_polarization_count': 16, 'q': 17, 'real_poly': [1, 6, 8], 'simple_distinct': ['1.17.c', '1.17.e'], 'simple_factors': ['1.17.cA', '1.17.eA'], 'simple_multiplicities': [1, 1], 'singular_primes': ['2,3*F-5'], 'size': 30, 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.2704.1', 'splitting_polynomials': [[9, 0, 7, 0, 1]], 'twist_count': 8, 'twists': [['2.17.ag_bq', '2.289.bw_bra', 2], ['2.17.ac_ba', '2.289.bw_bra', 2], ['2.17.c_ba', '2.289.bw_bra', 2], ['2.17.am_co', '2.83521.acq_ewda', 4], ['2.17.ae_c', '2.83521.acq_ewda', 4], ['2.17.e_c', '2.83521.acq_ewda', 4], ['2.17.m_co', '2.83521.acq_ewda', 4]], 'weak_equivalence_count': 9, 'zfv_index': 16, 'zfv_index_factorization': [[2, 4]], 'zfv_is_bass': False, 'zfv_is_maximal': False, 'zfv_pic_size': 8, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 3328, 'zfv_singular_count': 2, 'zfv_singular_primes': ['2,3*F-5']}
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av_fq_endalg_factors • Show schema
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id: 11262
{'base_label': '2.17.g_bq', 'extension_degree': 1, 'extension_label': '1.17.c', 'multiplicity': 1}
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id: 11263
{'base_label': '2.17.g_bq', 'extension_degree': 1, 'extension_label': '1.17.e', 'multiplicity': 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': '1.17.c', 'galois_group': '2T1', 'places': [['13', '1'], ['4', '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.e', 'galois_group': '2T1', 'places': [['2', '1'], ['15', '1']]}
