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av_fq_isog • Show schema
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{'abvar_count': 208, 'abvar_counts': [208, 49920, 11096176, 2473036800, 551472617488, 122978474760960, 27424204421953456, 6115597640823091200, 1363778273764480978768, 304122555035049938553600], 'abvar_counts_str': '208 49920 11096176 2473036800 551472617488 122978474760960 27424204421953456 6115597640823091200 1363778273764480978768 304122555035049938553600 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 0, 'angle_rank': 1, 'angles': [0.320040401555936], 'center_dim': 2, 'curve_count': 208, 'curve_counts': [208, 49920, 11096176, 2473036800, 551472617488, 122978474760960, 27424204421953456, 6115597640823091200, 1363778273764480978768, 304122555035049938553600], 'curve_counts_str': '208 49920 11096176 2473036800 551472617488 122978474760960 27424204421953456 6115597640823091200 1363778273764480978768 304122555035049938553600 ', 'curves': ['y^2=x^3+112*x+113', 'y^2=x^3+125*x+125', 'y^2=x^3+179*x+91', 'y^2=x^3+194*x+194', 'y^2=x^3+51*x+51', 'y^2=x^3+222*x+222', 'y^2=x^3+28*x+28', 'y^2=x^3+54*x+54', 'y^2=x^3+79*x+79', 'y^2=x^3+220*x+214', 'y^2=x^3+113*x+113', 'y^2=x^3+37*x+37', 'y^2=x^3+140*x+140', 'y^2=x^3+104*x+104', 'y^2=x^3+200*x+200', 'y^2=x^3+178*x+178', 'y^2=x^3+87*x+38', 'y^2=x^3+182*x+100', 'y^2=x^3+174*x+76', 'y^2=x^3+121*x+140'], 'dim1_distinct': 1, 'dim1_factors': 1, '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': 1, 'galois_groups': ['2T1'], 'geom_dim1_distinct': 1, 'geom_dim1_factors': 1, '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': 1, 'geometric_galois_groups': ['2T1'], 'geometric_number_fields': ['2.0.159.1'], 'geometric_splitting_field': '2.0.159.1', 'geometric_splitting_polynomials': [[40, -1, 1]], 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 0, 'is_geometrically_simple': True, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 20, 'label': '1.223.aq', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 1, 'newton_elevation': 0, 'number_fields': ['2.0.159.1'], 'p': 223, 'p_rank': 1, 'p_rank_deficit': 0, 'poly': [1, -16, 223], 'poly_str': '1 -16 223 ', 'primitive_models': [], 'principal_polarization_count': 20, 'q': 223, 'real_poly': [1, -16], 'simple_distinct': ['1.223.aq'], 'simple_factors': ['1.223.aqA'], 'simple_multiplicities': [1], 'size': 20, 'slopes': ['0A', '1A'], 'splitting_field': '2.0.159.1', 'splitting_polynomials': [[40, -1, 1]], 'twist_count': 2, 'twists': [['1.223.q', '1.49729.hi', 2]]}
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av_fq_endalg_factors • Show schema
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{'base_label': '1.223.aq', 'extension_degree': 1, 'extension_label': '1.223.aq', 'multiplicity': 1}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.159.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.223.aq', 'galois_group': '2T1', 'places': [['107', '1'], ['115', '1']]}
