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av_fq_isog • Show schema
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{'abvar_count': 102, 'abvar_counts': [102, 10404, 1770822, 209786256, 25937600502, 3135810555684, 379749872209782, 45951581514240000, 5559917317019872902, 672759119801350652004], 'abvar_counts_str': '102 10404 1770822 209786256 25937600502 3135810555684 379749872209782 45951581514240000 5559917317019872902 672759119801350652004 ', 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.0683888259129364, 0.931611174087064], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 12, 'curve_counts': [12, 82, 1332, 14326, 161052, 1770082, 19487172, 214367518, 2357947692, 25937776402], 'curve_counts_str': '12 82 1332 14326 161052 1770082 19487172 214367518 2357947692 25937776402 ', 'curves': [], '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': ['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': 2, 'geometric_galois_groups': ['2T1'], 'geometric_number_fields': ['2.0.84.1'], 'geometric_splitting_field': '2.0.84.1', 'geometric_splitting_polynomials': [[21, 0, 1]], 'group_structure_count': 1, 'has_geom_ss_factor': False, 'has_jacobian': -1, 'has_principal_polarization': 1, 'hyp_count': 0, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 0, 'label': '2.11.a_au', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 8, 'newton_coelevation': 2, 'newton_elevation': 0, 'number_fields': ['4.0.112896.4'], 'p': 11, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, 0, -20, 0, 121], 'poly_str': '1 0 -20 0 121 ', 'primitive_models': [], 'q': 11, 'real_poly': [1, 0, -42], 'simple_distinct': ['2.11.a_au'], 'simple_factors': ['2.11.a_auA'], 'simple_multiplicities': [1], 'singular_primes': [], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.112896.4', 'splitting_polynomials': [[121, 0, -20, 0, 1]], 'twist_count': 4, 'twists': [['2.11.a_u', '2.14641.ame_dcgk', 4], ['2.11.ac_c', '2.214358881.mue_blqzbkw', 8], ['2.11.c_c', '2.214358881.mue_blqzbkw', 8]], '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': 4, 'zfv_singular_count': 0, 'zfv_singular_primes': []}
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av_fq_endalg_factors • Show schema
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id: 8563
{'base_label': '2.11.a_au', 'extension_degree': 1, 'extension_label': '2.11.a_au', 'multiplicity': 1}
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id: 8564
{'base_label': '2.11.a_au', 'extension_degree': 2, 'extension_label': '1.121.au', 'multiplicity': 2}
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av_fq_endalg_data • Show schema
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id: 7157
{'brauer_invariants': ['0', '0', '0', '0'], 'center': '4.0.112896.4', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.11.a_au', 'galois_group': '4T2', 'places': [['3', '1', '0', '0'], ['8', '1', '0', '0'], ['4', '32/11', '4', '5/11'], ['5', '4/11', '7', '2/11']]}
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id: 1290679
{'brauer_invariants': ['0', '0', '0', '0'], 'center': '4.0.112896.4', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.11.a_au', 'galois_group': '4T2', 'places': [['3', '1', '0', '0'], ['8', '1', '0', '0'], ['10', '36/11', '8', '117/11'], ['10', '52/11', '7', '4/11']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.84.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.121.au', 'galois_group': '2T1', 'places': [['1', '1'], ['10', '1']]}