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av_fq_isog • Show schema
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{'abvar_count': 285, 'abvar_counts': [285, 272745, 149399280, 78437370825, 41420124422925, 21912937406173440, 11592892715216134845, 6132666078284792495625, 3244160456331981140841840, 1716156696419173852876521225], 'abvar_counts_str': '285 272745 149399280 78437370825 41420124422925 21912937406173440 11592892715216134845 6132666078284792495625 3244160456331981140841840 1716156696419173852876521225 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.112386341891082, 0.32545246783933], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 10, 'curve_counts': [10, 516, 12280, 280292, 6435350, 148024494, 3404842010, 78311696068, 1801157961640, 41426532096036], 'curve_counts_str': '10 516 12280 280292 6435350 148024494 3404842010 78311696068 1801157961640 41426532096036 ', 'curves': ['y^2=5*x^6+11*x^5+13*x^4+5*x^3+13*x^2+11*x+5', 'y^2=6*x^6+4*x^5+x^4+17*x^3+2*x+21', 'y^2=10*x^6+18*x^5+12*x^4+22*x^3+7*x^2+15*x+5', 'y^2=13*x^6+4*x^5+3*x^4+20*x^3+3*x^2+4*x+13', 'y^2=19*x^6+16*x^5+22*x^4+18*x^3+22*x^2+16*x+19', 'y^2=15*x^6+13*x^4+5*x^3+2*x^2+8'], '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': 3, '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': ['2.0.11.1', '2.0.67.1'], 'geometric_splitting_field': '4.0.543169.1', 'geometric_splitting_polynomials': [[196, 0, 39, 0, 1]], 'group_structure_count': 1, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 6, 'is_geometrically_simple': False, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': False, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 6, 'label': '2.23.ao_dn', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 2, 'newton_elevation': 0, 'number_fields': ['2.0.11.1', '2.0.67.1'], 'p': 23, 'p_rank': 2, 'p_rank_deficit': 0, 'pic_prime_gens': [[1, 3, 1, 6]], 'poly': [1, -14, 91, -322, 529], 'poly_str': '1 -14 91 -322 529 ', 'primitive_models': [], 'principal_polarization_count': 7, 'q': 23, 'real_poly': [1, -14, 45], 'simple_distinct': ['1.23.aj', '1.23.af'], 'simple_factors': ['1.23.ajA', '1.23.afA'], 'simple_multiplicities': [1, 1], 'singular_primes': ['2,-F^2-V-10'], 'size': 10, 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.543169.1', 'splitting_polynomials': [[196, 0, 39, 0, 1]], 'twist_count': 4, 'twists': [['2.23.ae_b', '2.529.ao_ml', 2], ['2.23.e_b', '2.529.ao_ml', 2], ['2.23.o_dn', '2.529.ao_ml', 2]], 'weak_equivalence_count': 3, 'zfv_index': 16, 'zfv_index_factorization': [[2, 4]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_pic_size': 6, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 737, 'zfv_singular_count': 2, 'zfv_singular_primes': ['2,-F^2-V-10']}
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av_fq_endalg_factors • Show schema
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id: 14244
{'base_label': '2.23.ao_dn', 'extension_degree': 1, 'extension_label': '1.23.aj', 'multiplicity': 1}
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id: 14245
{'base_label': '2.23.ao_dn', 'extension_degree': 1, 'extension_label': '1.23.af', 'multiplicity': 1}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.11.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.23.aj', 'galois_group': '2T1', 'places': [['18', '1'], ['4', '1']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.67.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.23.af', 'galois_group': '2T1', 'places': [['20', '1'], ['2', '1']]}