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av_fq_isog • Show schema
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{'abvar_count': 575, 'abvar_counts': [575, 330625, 148055600, 77771265625, 41426517680375, 21920460691360000, 11592836325276406775, 6132551618994447515625, 3244150909894151944794800, 1716156367122422470660140625], 'abvar_counts_str': '575 330625 148055600 77771265625 41426517680375 21920460691360000 11592836325276406775 6132551618994447515625 3244150909894151944794800 1716156367122422470660140625 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.466753484570318, 0.533246515429682], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 24, 'curve_counts': [24, 620, 12168, 277908, 6436344, 148075310, 3404825448, 78310234468, 1801152661464, 41426524147100], 'curve_counts_str': '24 620 12168 277908 6436344 148075310 3404825448 78310234468 1801152661464 41426524147100 ', 'curves': ['y^2=3*x^6+12*x^5+12*x^4+16*x^3+12*x^2+12*x+3', 'y^2=15*x^6+14*x^5+14*x^4+11*x^3+14*x^2+14*x+15', 'y^2=8*x^6+12*x^5+14*x^4+21*x^3+21*x^2+4*x+4', 'y^2=17*x^6+14*x^5+x^4+13*x^3+13*x^2+20*x+20', 'y^2=2*x^6+20*x^5+17*x^4+10*x^3+20*x^2+5*x+6', 'y^2=10*x^6+8*x^5+16*x^4+4*x^3+8*x^2+2*x+7', 'y^2=19*x^6+10*x^5+2*x^4+13*x^3+13*x^2+20*x+17', 'y^2=3*x^6+4*x^5+10*x^4+19*x^3+19*x^2+8*x+16', 'y^2=7*x^6+7*x^5+12*x^4+7*x^3+8*x^2+21*x+14', 'y^2=12*x^6+12*x^5+14*x^4+12*x^3+17*x^2+13*x+1'], 'dim1_distinct': 2, '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, 'endomorphism_ring_count': 2, 'g': 2, 'galois_groups': ['2T1', '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': 2, 'geometric_galois_groups': ['2T1'], 'geometric_number_fields': ['2.0.91.1'], 'geometric_splitting_field': '2.0.91.1', 'geometric_splitting_polynomials': [[23, -1, 1]], 'group_structure_count': 1, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 10, 'is_cyclic': True, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': False, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 10, 'label': '2.23.a_bt', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 6, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [], 'number_fields': ['2.0.91.1', '2.0.91.1'], 'p': 23, 'p_rank': 2, 'p_rank_deficit': 0, 'pic_prime_gens': [[1, 5, 1, 6], [2, 5, 1, 6]], 'poly': [1, 0, 45, 0, 529], 'poly_str': '1 0 45 0 529 ', 'primitive_models': [], 'principal_polarization_count': 16, 'q': 23, 'real_poly': [1, 0, -1], 'simple_distinct': ['1.23.ab', '1.23.b'], 'simple_factors': ['1.23.abA', '1.23.bA'], 'simple_multiplicities': [1, 1], 'singular_primes': ['2,3*F-V+1'], 'size': 16, 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '2.0.91.1', 'splitting_polynomials': [[23, -1, 1]], 'twist_count': 6, 'twists': [['2.23.ac_bv', '2.529.dm_eop', 2], ['2.23.c_bv', '2.529.dm_eop', 2], ['2.23.a_abt', '2.279841.acwk_dhbff', 4], ['2.23.ab_aw', '2.148035889.cgie_cfqaiqg', 6], ['2.23.b_aw', '2.148035889.cgie_cfqaiqg', 6]], 'weak_equivalence_count': 2, 'zfv_index': 4, 'zfv_index_factorization': [[2, 2]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_pic_size': 12, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 8281, 'zfv_singular_count': 2, 'zfv_singular_primes': ['2,3*F-V+1']}
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av_fq_endalg_factors • Show schema
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id: 14124
{'base_label': '2.23.a_bt', 'extension_degree': 1, 'extension_label': '1.23.ab', 'multiplicity': 1}
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id: 14125
{'base_label': '2.23.a_bt', 'extension_degree': 1, 'extension_label': '1.23.b', 'multiplicity': 1}
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id: 14126
{'base_label': '2.23.a_bt', 'extension_degree': 2, 'extension_label': '1.529.bt', 'multiplicity': 2}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.91.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.23.ab', 'galois_group': '2T1', 'places': [['22', '1'], ['0', '1']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.91.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.23.b', 'galois_group': '2T1', 'places': [['0', '1'], ['22', '1']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.91.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.529.bt', 'galois_group': '2T1', 'places': [['22', '1'], ['0', '1']]}
