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av_fq_isog • Show schema
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{'abvar_count': 33, 'abvar_counts': [33, 2673, 108999, 5808429, 290838768, 13905547425, 678116146587, 33263484668469, 1628580369069621, 79776985647414528], 'abvar_counts_str': '33 2673 108999 5808429 290838768 13905547425 678116146587 33263484668469 1628580369069621 79776985647414528 ', 'angle_rank': 2, 'angles': [0.171557865674235, 0.594085680912579], 'center_dim': 4, 'curve_count': 5, 'curve_counts': [5, 55, 317, 2419, 17300, 118195, 823415, 5770099, 40357739, 282421150], 'curve_counts_str': '5 55 317 2419 17300 118195 823415 5770099 40357739 282421150 ', 'curves': ['y^2=3*x^6+5*x^5+x^4+6*x^3+6*x^2+x+2', 'y^2=2*x^6+x^5+x^4+5*x^3+2*x^2+3', 'y^2=5*x^5+5*x^4+5*x^3+3*x^2+3*x+6', 'y^2=6*x^6+6*x^5+3*x^4+2*x^3+6', 'y^2=6*x^6+x^5+2*x^3+4*x^2+6*x+6', 'y^2=x^6+5*x^5+3*x^4+3*x^3+5*x^2+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, 'g': 2, 'galois_groups': ['4T3'], 'geom_dim1_distinct': 0, 'geom_dim1_factors': 0, 'geom_dim2_distinct': 1, 'geom_dim2_factors': 1, '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': ['4T3'], 'geometric_number_fields': ['4.0.28749.1'], 'geometric_splitting_field': '4.0.16317.1', 'geometric_splitting_polynomials': [[9, -3, 1, -1, 1]], 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 6, 'is_geometrically_simple': True, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'jacobian_count': 6, 'label': '2.7.ad_h', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'number_fields': ['4.0.28749.1'], 'p': 7, 'p_rank': 1, 'p_rank_deficit': 1, 'pic_prime_gens': [[1, 3, 1, 2], [1, 7, 1, 2]], 'poly': [1, -3, 7, -21, 49], 'poly_str': '1 -3 7 -21 49 ', 'primitive_models': [], 'principal_polarization_count': 0, 'q': 7, 'real_poly': [1, -3, -7], 'simple_distinct': ['2.7.ad_h'], 'simple_factors': ['2.7.ad_hA'], 'simple_multiplicities': [1], 'size': 6, 'slopes': ['0A', '1/2A', '1/2B', '1A'], 'splitting_field': '4.0.16317.1', 'splitting_polynomials': [[9, -3, 1, -1, 1]], 'twist_count': 2, 'twists': [['2.7.d_h', '2.49.f_v', 2]], 'zfv_index': 3, 'zfv_index_factorization': [[3, 1]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 189}
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av_fq_endalg_factors • Show schema
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{'base_label': '2.7.ad_h', 'extension_degree': 1, 'extension_label': '2.7.ad_h', 'multiplicity': 1}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0', '0'], 'center': '4.0.28749.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.7.ad_h', 'galois_group': '4T3', 'places': [['5', '1', '0', '0'], ['3', '1', '0', '0'], ['1', '1', '0', '0']]}
