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av_fq_isog • Show schema
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{'abvar_count': 28, 'abvar_counts': [28, 448, 19600, 410368, 10088428, 245862400, 6060077548, 152474692608, 3804918384400, 95406021473728], 'abvar_counts_str': '28 448 19600 410368 10088428 245862400 6060077548 152474692608 3804918384400 95406021473728 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.23844981323102, 0.905116479897687], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 7, 'curve_counts': [7, 17, 154, 657, 3227, 15734, 77567, 390337, 1948114, 9769577], 'curve_counts_str': '7 17 154 657 3227 15734 77567 390337 1948114 9769577 ', 'curves': ['y^2=2*x^5+x^4+3*x^3+2*x^2+2*x'], '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': 3, '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': ['2.0.19.1'], 'geometric_splitting_field': '2.0.19.1', 'geometric_splitting_polynomials': [[5, -1, 1]], 'group_structure_count': 2, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 1, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 1, 'label': '2.5.b_ae', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 12, 'newton_coelevation': 2, 'newton_elevation': 0, 'number_fields': ['4.0.3249.1'], 'p': 5, 'p_rank': 2, 'p_rank_deficit': 0, 'pic_prime_gens': [], 'poly': [1, 1, -4, 5, 25], 'poly_str': '1 1 -4 5 25 ', 'primitive_models': [], 'principal_polarization_count': 1, 'q': 5, 'real_poly': [1, 1, -14], 'simple_distinct': ['2.5.b_ae'], 'simple_factors': ['2.5.b_aeA'], 'simple_multiplicities': [1], 'singular_primes': ['2,5*F-1'], 'size': 3, 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.3249.1', 'splitting_polynomials': [[25, -5, -4, -1, 1]], 'twist_count': 6, 'twists': [['2.5.ab_ae', '2.25.aj_ce', 2], ['2.5.ac_l', '2.125.bc_re', 3], ['2.5.a_j', '2.15625.ee_byoc', 6], ['2.5.c_l', '2.15625.ee_byoc', 6], ['2.5.a_aj', '2.244140625.dfvo_eerhynm', 12]], 'weak_equivalence_count': 3, 'zfv_index': 4, 'zfv_index_factorization': [[2, 2]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_pic_size': 1, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 16, 'zfv_singular_count': 2, 'zfv_singular_primes': ['2,5*F-1']}
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av_fq_endalg_factors • Show schema
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id: 6921
{'base_label': '2.5.b_ae', 'extension_degree': 1, 'extension_label': '2.5.b_ae', 'multiplicity': 1}
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id: 6922
{'base_label': '2.5.b_ae', 'extension_degree': 3, 'extension_label': '1.125.o', 'multiplicity': 2}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '4.0.3249.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.5.b_ae', 'galois_group': '4T2', 'places': [['0', '16/5', '4/5', '1/5'], ['0', '1', '0', '0']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.19.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.125.o', 'galois_group': '2T1', 'places': [['0', '1'], ['4', '1']]}
