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av_fq_isog • Show schema
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{'abvar_count': 38, 'abvar_counts': [38, 6764, 542336, 42423808, 3469878838, 283042989056, 22916426899222, 1853786180671488, 150096592887827072, 12157669652650588844], 'abvar_counts_str': '38 6764 542336 42423808 3469878838 283042989056 22916426899222 1853786180671488 150096592887827072 12157669652650588844 ', 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.122441590128174, 0.422937410221115], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 3, 'curve_counts': [3, 85, 744, 6465, 58763, 532594, 4791251, 43064513, 387425544, 3486785605], 'curve_counts_str': '3 85 744 6465 58763 532594 4791251 43064513 387425544 3486785605 ', 'curves': ['y^2=(2*a+2)*x^6+(a+2)*x^5+(a+2)*x^4+(2*a+2)*x^3+(2*a+1)*x^2+a*x+a', 'y^2=(a+2)*x^6+2*a*x^5+x^4+(a+1)*x^2+(2*a+2)*x+a+2'], '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, 'endomorphism_ring_count': 1, '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': ['4.0.49708.1'], 'geometric_splitting_field': '4.0.49708.1', 'geometric_splitting_polynomials': [[19, 11, 8, -1, 1]], 'group_structure_count': 1, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 2, 'is_geometrically_simple': True, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 2, 'label': '2.9.ah_ba', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 2, 'newton_elevation': 0, 'number_fields': ['4.0.49708.1'], 'p': 3, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, -7, 26, -63, 81], 'poly_str': '1 -7 26 -63 81 ', 'primitive_models': [], 'q': 9, 'real_poly': [1, -7, 8], 'simple_distinct': ['2.9.ah_ba'], 'simple_factors': ['2.9.ah_baA'], 'simple_multiplicities': [1], 'singular_primes': [], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.49708.1', 'splitting_polynomials': [[19, 11, 8, -1, 1]], 'twist_count': 2, 'twists': [['2.9.h_ba', '2.81.d_abs', 2]], 'weak_equivalence_count': 1, 'zfv_index': 1, 'zfv_index_factorization': [], 'zfv_is_bass': True, 'zfv_is_maximal': True, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 172, 'zfv_singular_count': 0, 'zfv_singular_primes': []}
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av_fq_endalg_factors • Show schema
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{'base_label': '2.9.ah_ba', 'extension_degree': 1, 'extension_label': '2.9.ah_ba', 'multiplicity': 1}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '4.0.49708.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.9.ah_ba', 'galois_group': '4T3', 'places': [['4/9', '10/9', '1/9', '1/9'], ['1', '1', '0', '0']]}
