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av_fq_isog • Show schema
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{'abvar_count': 43, 'abvar_counts': [43, 817, 16684, 412585, 9102283, 244720912, 6141042979, 152663463945, 3819215474188, 95257384994977], 'abvar_counts_str': '43 817 16684 412585 9102283 244720912 6141042979 152663463945 3819215474188 95257384994977 ', 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.394933265699252, 0.780407857375119], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 8, 'curve_counts': [8, 32, 134, 660, 2908, 15662, 78604, 390820, 1955438, 9754352], 'curve_counts_str': '8 32 134 660 2908 15662 78604 390820 1955438 9754352 ', 'curves': ['y^2=3*x^6+4*x^5+3*x^4+4*x^3+x^2+3*x+1', 'y^2=x^6+x^5+2*x^4+3*x^3+4*x+1'], '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': 1, 'g': 2, 'galois_groups': ['4T3'], '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': ['4T3'], 'geometric_number_fields': ['4.0.83520.4'], 'geometric_splitting_field': '4.0.83520.4', 'geometric_splitting_polynomials': [[19, 2, 5, -2, 1]], 'group_structure_count': 1, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 2, 'is_geometrically_simple': True, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 2, 'label': '2.5.c_f', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 1, 'newton_elevation': 1, 'number_fields': ['4.0.83520.4'], 'p': 5, 'p_rank': 1, 'p_rank_deficit': 1, 'poly': [1, 2, 5, 10, 25], 'poly_str': '1 2 5 10 25 ', 'primitive_models': [], 'q': 5, 'real_poly': [1, 2, -5], 'simple_distinct': ['2.5.c_f'], 'simple_factors': ['2.5.c_fA'], 'simple_multiplicities': [1], 'singular_primes': [], 'slopes': ['0A', '1/2A', '1/2B', '1A'], 'splitting_field': '4.0.83520.4', 'splitting_polynomials': [[19, 2, 5, -2, 1]], 'twist_count': 2, 'twists': [['2.5.ac_f', '2.25.g_bj', 2]], 'weak_equivalence_count': 1, 'zfv_index': 1, 'zfv_index_factorization': [], 'zfv_is_bass': True, 'zfv_is_maximal': True, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 145, 'zfv_singular_count': 0, 'zfv_singular_primes': []}
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av_fq_endalg_factors • Show schema
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{'base_label': '2.5.c_f', 'extension_degree': 1, 'extension_label': '2.5.c_f', 'multiplicity': 1}
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av_fq_endalg_data • Show schema
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id: 6487
{'brauer_invariants': ['0', '0', '0'], 'center': '4.0.83520.4', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.5.c_f', 'galois_group': '4T3', 'places': [['1', '1', '0', '0'], ['24/5', '1/5', '11/5', '4/5'], ['21/5', '4/5', '24/5', '1/5']]}
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id: 1240402
{'brauer_invariants': ['0', '0', '0'], 'center': '4.0.83520.4', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.5.c_f', 'galois_group': '4T3', 'places': [['1', '1', '0', '0'], ['9/5', '1/5', '6/5', '24/5'], ['21/5', '4/5', '24/5', '1/5']]}
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id: 2350278
{'brauer_invariants': ['0', '0', '0'], 'center': '4.0.83520.4', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.5.c_f', 'galois_group': '4T3', 'places': [['1', '1', '0', '0'], ['14/5', '16/5', '11/5', '24/5'], ['21/5', '4/5', '24/5', '1/5']]}