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av_fq_isog • Show schema
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{'abvar_count': 36, 'abvar_counts': [36, 3600, 142884, 5760000, 274432356, 13731152400, 679467192804, 33288284160000, 1628762191021476, 79778171970090000], 'abvar_counts_str': '36 3600 142884 5760000 274432356 13731152400 679467192804 33288284160000 1628762191021476 79778171970090000 ', 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.376624142785575, 0.376624142785575], 'center_dim': 2, 'curve_count': 4, 'curve_counts': [4, 70, 412, 2398, 16324, 116710, 825052, 5774398, 40362244, 282425350], 'curve_counts_str': '4 70 412 2398 16324 116710 825052 5774398 40362244 282425350 ', 'curves': ['y^2=5*x^6+4*x^5+5*x^4+2*x^3+5*x^2+4*x+5', 'y^2=x^6+4*x^3+1', 'y^2=5*x^6+4*x^4+4*x^2+5'], 'dim1_distinct': 1, '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'], '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': 1, 'geometric_galois_groups': ['2T1'], 'geometric_number_fields': ['2.0.24.1'], 'geometric_splitting_field': '2.0.24.1', 'geometric_splitting_polynomials': [[6, 0, 1]], 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 3, 'is_cyclic': False, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': False, 'is_squarefree': False, 'is_supersingular': False, 'jacobian_count': 3, 'label': '2.7.ae_s', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 6, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [2, 3], 'number_fields': ['2.0.24.1'], 'p': 7, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, -4, 18, -28, 49], 'poly_str': '1 -4 18 -28 49 ', 'primitive_models': [], 'q': 7, 'real_poly': [1, -4, 4], 'simple_distinct': ['1.7.ac'], 'simple_factors': ['1.7.acA', '1.7.acB'], 'simple_multiplicities': [2], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '2.0.24.1', 'splitting_polynomials': [[6, 0, 1]], 'twist_count': 6, 'twists': [['2.7.a_k', '2.49.u_hq', 2], ['2.7.e_s', '2.49.u_hq', 2], ['2.7.c_ad', '2.343.cq_csw', 3], ['2.7.a_ak', '2.2401.ae_hcw', 4], ['2.7.ac_ad', '2.117649.abke_zywc', 6]]}
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av_fq_endalg_factors • Show schema
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{'base_label': '2.7.ae_s', 'extension_degree': 1, 'extension_label': '1.7.ac', 'multiplicity': 2}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.24.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.7.ac', 'galois_group': '2T1', 'places': [['6', '1'], ['1', '1']]}
