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av_fq_isog • Show schema
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{'abvar_count': 103, 'abvar_counts': [103, 10609, 1771600, 210917529, 25937707303, 3138566560000, 379749866668303, 45956213162244009, 5559917313290328400, 672764660136099533809], 'abvar_counts_str': '103 10609 1771600 210917529 25937707303 3138566560000 379749866668303 45956213162244009 5559917313290328400 672764660136099533809 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.0840906703303042, 0.915909329669696], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 12, 'curve_counts': [12, 84, 1332, 14404, 161052, 1771638, 19487172, 214389124, 2357947692, 25937990004], 'curve_counts_str': '12 84 1332 14404 161052 1771638 19487172 214389124 2357947692 25937990004 ', 'curves': ['y^2=4*x^6+6*x^5+8*x^4+3*x^3+5*x^2+2*x+10'], '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': 2, 'g': 2, 'galois_groups': ['4T2'], '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': 2, 'geometric_galois_groups': ['2T1'], 'geometric_number_fields': ['2.0.123.1'], 'geometric_splitting_field': '2.0.123.1', 'geometric_splitting_polynomials': [[31, -1, 1]], 'group_structure_count': 1, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 1, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 1, 'label': '2.11.a_at', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 6, 'newton_coelevation': 2, 'newton_elevation': 0, 'number_fields': ['4.0.15129.1'], 'p': 11, 'p_rank': 2, 'p_rank_deficit': 0, 'pic_prime_gens': [], 'poly': [1, 0, -19, 0, 121], 'poly_str': '1 0 -19 0 121 ', 'primitive_models': [], 'principal_polarization_count': 2, 'q': 11, 'real_poly': [1, 0, -41], 'simple_distinct': ['2.11.a_at'], 'simple_factors': ['2.11.a_atA'], 'simple_multiplicities': [1], 'singular_primes': ['2,F+V-3'], 'size': 2, 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.15129.1', 'splitting_polynomials': [[100, 10, 11, -1, 1]], 'twist_count': 4, 'twists': [['2.11.ad_o', '2.1331.a_bm', 3], ['2.11.d_o', '2.1331.a_bm', 3], ['2.11.a_t', '2.14641.aje_cmgx', 4], ['2.11.ad_o', '2.1771561.cy_htrlm', 6], ['2.11.d_o', '2.1771561.cy_htrlm', 6]], 'weak_equivalence_count': 2, 'zfv_index': 4, 'zfv_index_factorization': [[2, 2]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_pic_size': 1, 'zfv_plus_index': 2, 'zfv_plus_index_factorization': [[2, 1]], 'zfv_plus_norm': 9, 'zfv_singular_count': 2, 'zfv_singular_primes': ['2,F+V-3']}
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av_fq_endalg_factors • Show schema
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id: 8561
{'base_label': '2.11.a_at', 'extension_degree': 1, 'extension_label': '2.11.a_at', 'multiplicity': 1}
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id: 8562
{'base_label': '2.11.a_at', 'extension_degree': 2, 'extension_label': '1.121.at', 'multiplicity': 2}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '4.0.15129.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.11.a_at', 'galois_group': '4T2', 'places': [['10/11', '0', '10', '1/11'], ['10', '1', '0', '0']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.123.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.121.at', 'galois_group': '2T1', 'places': [['1', '1'], ['9', '1']]}