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av_fq_isog • Show schema
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{'abvar_count': 125, 'abvar_counts': [125, 12625, 1856375, 217920125, 26001250000, 3144459777625, 379557565563875, 45951221801355125, 5559490280816842625, 672748459337020000000], 'abvar_counts_str': '125 12625 1856375 217920125 26001250000 3144459777625 379557565563875 45951221801355125 5559490280816842625 672748459337020000000 ', 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.221564005517229, 0.870299311730527], 'center_dim': 4, 'cohen_macaulay_max': 2, 'curve_count': 13, 'curve_counts': [13, 103, 1393, 14883, 161448, 1774963, 19477303, 214365843, 2357766583, 25937365398], 'curve_counts_str': '13 103 1393 14883 161448 1774963 19477303 214365843 2357766583 25937365398 ', 'curves': ['y^2=8*x^5+9', 'y^2=10*x^6+2*x^5+8*x^4+3*x^3+7*x^2+8', 'y^2=x^6+5*x^5+5*x^3+2*x^2+9*x+5', 'y^2=7*x^6+9*x^4+8*x^3+7*x^2+9', 'y^2=9*x^6+8*x^5+8*x^4+10*x^3+10*x^2+5*x+8', 'y^2=5*x^6+3*x^5+10*x^3+x^2+8*x+10', 'y^2=x^6+8*x^5+4*x^4+9*x^2+7*x+7'], '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': ['4T1'], 'geom_dim1_distinct': 0, 'geom_dim1_factors': 0, 'geom_dim2_distinct': 1, 'geom_dim2_factors': 1, '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': ['4T1'], 'geometric_number_fields': ['4.0.125.1'], 'geometric_splitting_field': '4.0.125.1', 'geometric_splitting_polynomials': [[1, -1, 1, -1, 1]], 'group_structure_count': 3, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 7, 'is_cyclic': False, 'is_geometrically_simple': True, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 7, 'label': '2.11.b_aj', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 10, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [5], 'number_fields': ['4.0.125.1'], 'p': 11, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, 1, -9, 11, 121], 'poly_str': '1 1 -9 11 121 ', 'primitive_models': [], 'q': 11, 'real_poly': [1, 1, -31], 'simple_distinct': ['2.11.b_aj'], 'simple_factors': ['2.11.b_ajA'], 'simple_multiplicities': [1], 'singular_primes': ['5,V+4'], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.125.1', 'splitting_polynomials': [[1, -1, 1, -1, 1]], 'twist_count': 10, 'twists': [['2.11.ab_aj', '2.121.at_lp', 2], ['2.11.aj_bp', '2.161051.pg_cufe', 5], ['2.11.ae_g', '2.161051.pg_cufe', 5], ['2.11.b_v', '2.161051.pg_cufe', 5], ['2.11.l_bz', '2.161051.pg_cufe', 5], ['2.11.al_bz', '2.25937424601.adjpc_mdhquxa', 10], ['2.11.ab_v', '2.25937424601.adjpc_mdhquxa', 10], ['2.11.e_g', '2.25937424601.adjpc_mdhquxa', 10], ['2.11.j_bp', '2.25937424601.adjpc_mdhquxa', 10]], 'weak_equivalence_count': 5, 'zfv_index': 125, 'zfv_index_factorization': [[5, 3]], 'zfv_is_bass': False, 'zfv_is_maximal': False, 'zfv_plus_index': 5, 'zfv_plus_index_factorization': [[5, 1]], 'zfv_plus_norm': 125, 'zfv_singular_count': 2, 'zfv_singular_primes': ['5,V+4']}
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av_fq_endalg_factors • Show schema
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{'base_label': '2.11.b_aj', 'extension_degree': 1, 'extension_label': '2.11.b_aj', 'multiplicity': 1}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0', '0', '0'], 'center': '4.0.125.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.11.b_aj', 'galois_group': '4T1', 'places': [['4', '1', '0', '0'], ['9', '1', '0', '0'], ['3', '1', '0', '0'], ['5', '1', '0', '0']]}
