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av_fq_isog • Show schema
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{'abvar_count': 18221, 'abvar_counts': [18221, 596865297, 14963616087056, 369136533867138009, 9099061476136699522301, 224282731397052710179639296, 5528344890302734381408901023013, 136268174337441373052958847277075625, 3358874236477809009494917784568711484304, 82792891079852219426628147528968605576713777], 'abvar_counts_str': '18221 596865297 14963616087056 369136533867138009 9099061476136699522301 224282731397052710179639296 5528344890302734381408901023013 136268174337441373052958847277075625 3358874236477809009494917784568711484304 82792891079852219426628147528968605576713777 ', 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.0220179720413877, 0.183729987215333], 'center_dim': 4, 'curve_count': 112, 'curve_counts': [112, 24212, 3866674, 607558948, 95389009072, 14976072091622, 2351243252077552, 369145193654555716, 57955795528588253338, 9099059900726078728532], 'curve_counts_str': '112 24212 3866674 607558948 95389009072 14976072091622 2351243252077552 369145193654555716 57955795528588253338 9099059900726078728532 ', 'curves': ['y^2=119*x^6+21*x^5+102*x^4+21*x^3+72*x^2+80*x+6', 'y^2=150*x^6+137*x^5+125*x^4+113*x^3+9*x^2+8*x+115', 'y^2=69*x^6+25*x^5+53*x^4+47*x^3+126*x^2+35*x+13', 'y^2=96*x^6+16*x^5+76*x^4+84*x^3+76*x^2+16*x+96'], '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, 'g': 2, 'galois_groups': ['2T1', '2T1'], 'geom_dim1_distinct': 2, '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': 4, 'geometric_extension_degree': 1, 'geometric_galois_groups': ['2T1', '2T1'], 'geometric_number_fields': ['2.0.3.1', '2.0.187.1'], 'geometric_splitting_field': '4.0.314721.3', 'geometric_splitting_polynomials': [[2209, -47, -46, -1, 1]], 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 4, 'is_geometrically_simple': False, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': False, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 4, 'label': '2.157.abu_bgh', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 6, 'newton_coelevation': 2, 'newton_elevation': 0, 'number_fields': ['2.0.3.1', '2.0.187.1'], 'p': 157, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, -46, 839, -7222, 24649], 'poly_str': '1 -46 839 -7222 24649 ', 'primitive_models': [], 'q': 157, 'real_poly': [1, -46, 525], 'simple_distinct': ['1.157.az', '1.157.av'], 'simple_factors': ['1.157.azA', '1.157.avA'], 'simple_multiplicities': [1, 1], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.314721.3', 'splitting_polynomials': [[2209, -47, -46, -1, 1]], 'twist_count': 12, 'twists': [['2.157.ae_aid', '2.24649.aqw_fbjf', 2], ['2.157.e_aid', '2.24649.aqw_fbjf', 2], ['2.157.bu_bgh', '2.24649.aqw_fbjf', 2], ['2.157.ak_df', '2.3869893.aetw_lqjjq', 3], ['2.157.ah_u', '2.3869893.aetw_lqjjq', 3], ['2.157.abj_xk', '2.14976071831449.ouwq_aebqafqturi', 6], ['2.157.abg_uz', '2.14976071831449.ouwq_aebqafqturi', 6], ['2.157.h_u', '2.14976071831449.ouwq_aebqafqturi', 6], ['2.157.k_df', '2.14976071831449.ouwq_aebqafqturi', 6], ['2.157.bg_uz', '2.14976071831449.ouwq_aebqafqturi', 6], ['2.157.bj_xk', '2.14976071831449.ouwq_aebqafqturi', 6]]}
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av_fq_endalg_factors • Show schema
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id: 376123
{'base_label': '2.157.abu_bgh', 'extension_degree': 1, 'extension_label': '1.157.az', 'multiplicity': 1}
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id: 376124
{'base_label': '2.157.abu_bgh', 'extension_degree': 1, 'extension_label': '1.157.av', 'multiplicity': 1}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.3.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.157.az', 'galois_group': '2T1', 'places': [['144', '1'], ['12', '1']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.187.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.157.av', 'galois_group': '2T1', 'places': [['146', '1'], ['10', '1']]}