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av_fq_isog • Show schema
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{'abvar_count': 15, 'abvar_counts': [15, 225, 720, 5625, 58575, 518400, 4780455, 44555625, 387441360, 3431030625], 'abvar_counts_str': '15 225 720 5625 58575 518400 4780455 44555625 387441360 3431030625 ', 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.406785250661331, 0.593214749338669], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 4, 'curve_counts': [4, 20, 28, 68, 244, 710, 2188, 6788, 19684, 58100], 'curve_counts_str': '4 20 28 68 244 710 2188 6788 19684 58100 ', 'curves': ['y^2=2*x^6+x^5+x^3+x+2', 'y^2=x^6+2*x^5+2*x^3+2*x+1'], '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': 2, 'g': 2, 'galois_groups': ['2T1', '2T1'], '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': 2, 'geometric_galois_groups': ['2T1'], 'geometric_number_fields': ['2.0.11.1'], 'geometric_splitting_field': '2.0.11.1', 'geometric_splitting_polynomials': [[3, -1, 1]], 'group_structure_count': 1, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 2, 'is_cyclic': True, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': False, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 2, 'label': '2.3.a_f', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 6, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [], 'number_fields': ['2.0.11.1', '2.0.11.1'], 'p': 3, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, 0, 5, 0, 9], 'poly_str': '1 0 5 0 9 ', 'primitive_models': [], 'q': 3, 'real_poly': [1, 0, -1], 'simple_distinct': ['1.3.ab', '1.3.b'], 'simple_factors': ['1.3.abA', '1.3.bA'], 'simple_multiplicities': [1, 1], 'singular_primes': ['2,F^2-5*F+1'], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '2.0.11.1', 'splitting_polynomials': [[3, -1, 1]], 'twist_count': 6, 'twists': [['2.3.ac_h', '2.9.k_br', 2], ['2.3.c_h', '2.9.k_br', 2], ['2.3.a_af', '2.81.ao_id', 4], ['2.3.ab_ac', '2.729.au_chy', 6], ['2.3.b_ac', '2.729.au_chy', 6]], 'weak_equivalence_count': 2, 'zfv_index': 4, 'zfv_index_factorization': [[2, 2]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 121, 'zfv_singular_count': 2, 'zfv_singular_primes': ['2,F^2-5*F+1']}
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av_fq_endalg_factors • Show schema
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id: 6602
{'base_label': '2.3.a_f', 'extension_degree': 1, 'extension_label': '1.3.ab', 'multiplicity': 1}
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id: 6603
{'base_label': '2.3.a_f', 'extension_degree': 1, 'extension_label': '1.3.b', 'multiplicity': 1}
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id: 6604
{'base_label': '2.3.a_f', 'extension_degree': 2, 'extension_label': '1.9.f', 'multiplicity': 2}
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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': '1.3.ab', 'galois_group': '2T1', 'places': [['2', '1'], ['0', '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': '1.3.b', 'galois_group': '2T1', 'places': [['0', '1'], ['2', '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': '1.9.f', 'galois_group': '2T1', 'places': [['2', '1'], ['0', '1']]}
