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av_fq_isog • Show schema
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{'abvar_count': 100, 'abvar_counts': [100, 12400, 1690000, 217297600, 25848827500, 3144238240000, 379899905107900, 45951941724998400, 5560365375023290000, 672749515038672310000], 'abvar_counts_str': '100 12400 1690000 217297600 25848827500 3144238240000 379899905107900 45951941724998400 5560365375023290000 672749515038672310000 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.118495992214556, 0.785162658881223], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 11, 'curve_counts': [11, 101, 1268, 14841, 160501, 1774838, 19494871, 214369201, 2358137708, 25937406101], 'curve_counts_str': '11 101 1268 14841 160501 1774838 19494871 214369201 2358137708 25937406101 ', 'curves': ['y^2=x^6+2*x^5+5*x^4+8*x^3+8*x+8', 'y^2=10*x^6+10*x^5+5*x^4+3*x^3+x^2+8*x+5', 'y^2=6*x^6+5*x^5+8*x^4+x^3+4*x^2+10*x+10'], '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': ['2.0.43.1'], 'geometric_splitting_field': '2.0.43.1', 'geometric_splitting_polynomials': [[11, -1, 1]], 'group_structure_count': 4, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 3, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 3, 'label': '2.11.ab_ak', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 12, 'newton_coelevation': 2, 'newton_elevation': 0, 'number_fields': ['4.0.16641.1'], 'p': 11, 'p_rank': 2, 'p_rank_deficit': 0, 'pic_prime_gens': [[1, 13, 1, 3]], 'poly': [1, -1, -10, -11, 121], 'poly_str': '1 -1 -10 -11 121 ', 'primitive_models': [], 'principal_polarization_count': 3, 'q': 11, 'real_poly': [1, -1, -32], 'simple_distinct': ['2.11.ab_ak'], 'simple_factors': ['2.11.ab_akA'], 'simple_multiplicities': [1], 'singular_primes': ['2,-4*F+V+1', '5,6*F^2+F-V+4'], 'size': 6, 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.16641.1', 'splitting_polynomials': [[121, -11, -10, -1, 1]], 'twist_count': 6, 'twists': [['2.11.b_ak', '2.121.av_mi', 2], ['2.11.c_x', '2.1331.acm_flu', 3], ['2.11.ac_x', '2.1771561.ewa_nqghy', 6], ['2.11.a_v', '2.1771561.ewa_nqghy', 6], ['2.11.a_av', '2.3138428376721.dtwpw_bhpppszueg', 12]], 'weak_equivalence_count': 4, 'zfv_index': 10, 'zfv_index_factorization': [[2, 1], [5, 1]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_pic_size': 3, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 100, 'zfv_singular_count': 4, 'zfv_singular_primes': ['2,-4*F+V+1', '5,6*F^2+F-V+4']}
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av_fq_endalg_factors • Show schema
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id: 8595
{'base_label': '2.11.ab_ak', 'extension_degree': 1, 'extension_label': '2.11.ab_ak', 'multiplicity': 1}
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id: 8596
{'base_label': '2.11.ab_ak', 'extension_degree': 3, 'extension_label': '1.1331.abg', 'multiplicity': 2}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '4.0.16641.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.11.ab_ak', 'galois_group': '4T2', 'places': [['0', '100/11', '10/11', '1/11'], ['0', '1', '0', '0']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.43.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.1331.abg', 'galois_group': '2T1', 'places': [['10', '1'], ['0', '1']]}