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av_fq_isog • Show schema
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{'abvar_count': 141, 'abvar_counts': [141, 19881, 1771524, 210917529, 25937141901, 3138297282576, 379749800498181, 45956213162244009, 5559917313694134564, 672735329992609893801], 'abvar_counts_str': '141 19881 1771524 210917529 25937141901 3138297282576 379749800498181 45956213162244009 5559917313694134564 672735329992609893801 ', 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.415909329669696, 0.584090670330304], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 12, 'curve_counts': [12, 160, 1332, 14404, 161052, 1771486, 19487172, 214389124, 2357947692, 25936859200], 'curve_counts_str': '12 160 1332 14404 161052 1771486 19487172 214389124 2357947692 25936859200 ', 'curves': ['y^2=x^6+x^3+7', 'y^2=5*x^6+8*x^5+5*x^3+6*x^2+8*x+5', 'y^2=10*x^6+5*x^5+10*x^3+x^2+5*x+10', 'y^2=6*x^6+3*x^5+5*x^4+3*x^3+3*x^2+2*x+8', 'y^2=x^6+6*x^5+10*x^4+6*x^3+6*x^2+4*x+5', 'y^2=x^6+8*x^5+5*x^4+9*x^3+2*x+7', 'y^2=2*x^6+5*x^5+10*x^4+7*x^3+4*x+3'], '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': ['2.0.123.1'], 'geometric_splitting_field': '2.0.123.1', 'geometric_splitting_polynomials': [[31, -1, 1]], 'group_structure_count': 1, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 7, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 7, 'label': '2.11.a_t', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 12, 'newton_coelevation': 2, 'newton_elevation': 0, 'number_fields': ['4.0.242064.1'], 'p': 11, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, 0, 19, 0, 121], 'poly_str': '1 0 19 0 121 ', 'primitive_models': [], 'q': 11, 'real_poly': [1, 0, -3], 'simple_distinct': ['2.11.a_t'], 'simple_factors': ['2.11.a_tA'], 'simple_multiplicities': [1], 'singular_primes': [], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.242064.1', 'splitting_polynomials': [[121, 0, 19, 0, 1]], 'twist_count': 4, 'twists': [['2.11.a_at', '2.14641.aje_cmgx', 4], ['2.11.ad_o', '2.3138428376721.pnaiu_dmdfwfrupy', 12], ['2.11.d_o', '2.3138428376721.pnaiu_dmdfwfrupy', 12]], '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': 1681, 'zfv_singular_count': 0, 'zfv_singular_primes': []}
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av_fq_endalg_factors • Show schema
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id: 8490
{'base_label': '2.11.a_t', 'extension_degree': 1, 'extension_label': '2.11.a_t', 'multiplicity': 1}
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id: 8491
{'base_label': '2.11.a_t', 'extension_degree': 2, 'extension_label': '1.121.t', 'multiplicity': 2}
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av_fq_endalg_data • Show schema
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id: 7191
{'brauer_invariants': ['0', '0', '0', '0'], 'center': '4.0.242064.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.11.a_t', 'galois_group': '4T2', 'places': [['6', '1', '0', '0'], ['5', '1', '0', '0'], ['3', '18/11', '4', '5/11'], ['6', '85/11', '3', '1/11']]}
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id: 1290684
{'brauer_invariants': ['0', '0', '0', '0'], 'center': '4.0.242064.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.11.a_t', 'galois_group': '4T2', 'places': [['6', '1', '0', '0'], ['5', '1', '0', '0'], ['5', '85/11', '5', '1/11'], ['3', '70/11', '4', '116/11']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.123.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.121.t', 'galois_group': '2T1', 'places': [['9', '1'], ['1', '1']]}
