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av_fq_isog • Show schema
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{'abvar_count': 44, 'abvar_counts': [44, 6336, 475904, 41184000, 3479345804, 282070204416, 22836618789644, 1852326013824000, 150094603531668224, 12157211066243956416], 'abvar_counts_str': '44 6336 475904 41184000 3479345804 282070204416 22836618789644 1852326013824000 150094603531668224 12157211066243956416 ', 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.0, 0.0, 0.553300379038114], 'center_dim': 3, 'curve_count': 5, 'curve_counts': [5, 81, 650, 6273, 58925, 530766, 4774565, 43030593, 387420410, 3486654081], 'curve_counts_str': '5 81 650 6273 58925 530766 4774565 43030593 387420410 3486654081 ', 'curves': [], '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': ['1T1', '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': 3, 'geometric_extension_degree': 1, 'geometric_galois_groups': ['1T1', '2T1'], 'geometric_number_fields': ['1.1.1.1', '2.0.35.1'], 'geometric_splitting_field': '2.0.35.1', 'geometric_splitting_polynomials': [[9, -1, 1]], 'has_geom_ss_factor': True, 'has_jacobian': -1, 'has_principal_polarization': 1, 'hyp_count': 0, 'is_geometrically_simple': False, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': False, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 0, 'label': '2.9.af_m', 'max_divalg_dim': 4, 'max_geom_divalg_dim': 4, 'max_twist_degree': 6, 'newton_coelevation': 1, 'newton_elevation': 1, 'number_fields': ['1.1.1.1', '2.0.35.1'], 'p': 3, 'p_rank': 1, 'p_rank_deficit': 1, 'poly': [1, -5, 12, -45, 81], 'poly_str': '1 -5 12 -45 81 ', 'primitive_models': [], 'q': 9, 'real_poly': [1, -5, -6], 'simple_distinct': ['1.9.ag', '1.9.b'], 'simple_factors': ['1.9.agA', '1.9.bA'], 'simple_multiplicities': [1, 1], 'slopes': ['0A', '1/2A', '1/2B', '1A'], 'splitting_field': '2.0.35.1', 'splitting_polynomials': [[9, -1, 1]], 'twist_count': 10, 'twists': [['2.9.ah_y', '2.81.ab_afo', 2], ['2.9.f_m', '2.81.ab_afo', 2], ['2.9.h_y', '2.81.ab_afo', 2], ['2.9.e_v', '2.729.adc_egc', 3], ['2.9.ab_s', '2.6561.ald_bxwa', 4], ['2.9.b_s', '2.6561.ald_bxwa', 4], ['2.9.ae_v', '2.531441.abaa_aekic', 6], ['2.9.ac_p', '2.531441.abaa_aekic', 6], ['2.9.c_p', '2.531441.abaa_aekic', 6]]}
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av_fq_endalg_factors • Show schema
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id: 8243
{'base_label': '2.9.af_m', 'extension_degree': 1, 'extension_label': '1.9.ag', 'multiplicity': 1}
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id: 8244
{'base_label': '2.9.af_m', 'extension_degree': 1, 'extension_label': '1.9.b', 'multiplicity': 1}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['1/2'], 'center': '1.1.1.1', 'center_dim': 1, 'divalg_dim': 4, 'extension_label': '1.9.ag', 'galois_group': '1T1', 'places': [['0']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.35.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.9.b', 'galois_group': '2T1', 'places': [['0', '1'], ['2', '1']]}