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av_fq_isog • Show schema
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{'abvar_count': 3819, 'abvar_counts': [3819, 11835081, 42529163076, 146827541611449, 511151418756219099, 1779171691834536371856, 6193383647274866904852099, 21559173856999066979345587689, 75047498013640944562456090703076, 261240335975349536278672846717231401], 'abvar_counts_str': '3819 11835081 42529163076 146827541611449 511151418756219099 1779171691834536371856 6193383647274866904852099 21559173856999066979345587689 75047498013640944562456090703076 261240335975349536278672846717231401 ', 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.294387598742271, 0.961054265408938], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 66, 'curve_counts': [66, 3400, 207072, 12117124, 714972786, 42179923726, 2488650453894, 146830413426244, 8662995987142608, 511116754221685000], 'curve_counts_str': '66 3400 207072 12117124 714972786 42179923726 2488650453894 146830413426244 8662995987142608 511116754221685000 ', 'curves': ['y^2=41*x^6+47*x^5+36*x^4+11*x^3+3*x^2+22*x+41', 'y^2=4*x^6+40*x^5+13*x^4+43*x^3+50*x^2+43*x+4', 'y^2=42*x^6+52*x^5+47*x^4+18*x^3+4*x^2+23*x+42', 'y^2=33*x^6+16*x^5+49*x^4+53*x^3+51*x^2+5*x+33', 'y^2=2*x^6+28*x^5+53*x^4+29*x^3+46*x^2+19*x+2', 'y^2=9*x^6+34*x^5+25*x^4+29*x^3+49*x^2+20*x+9', 'y^2=49*x^6+11*x^5+3*x^4+28*x^3+34*x^2+47*x+49'], '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': 4, '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': 3, 'geometric_galois_groups': ['2T1'], 'geometric_number_fields': ['2.0.8.1'], 'geometric_splitting_field': '2.0.8.1', 'geometric_splitting_polynomials': [[2, 0, 1]], 'group_structure_count': 1, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 7, 'is_cyclic': True, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 7, 'label': '2.59.g_ax', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 24, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [], 'number_fields': ['4.0.576.1'], 'p': 59, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, 6, -23, 354, 3481], 'poly_str': '1 6 -23 354 3481 ', 'primitive_models': [], 'q': 59, 'real_poly': [1, 6, -141], 'simple_distinct': ['2.59.g_ax'], 'simple_factors': ['2.59.g_axA'], 'simple_multiplicities': [1], 'singular_primes': ['5,11*F^2+9*F+V+12', '23,F^2+17*F-5*V-33'], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.576.1', 'splitting_polynomials': [[4, 0, -2, 0, 1]], 'twist_count': 8, 'twists': [['2.59.ag_ax', '2.3481.ade_eut', 2], ['2.59.am_fy', '2.205379.cnc_cmcjy', 3], ['2.59.a_de', '2.42180533641.abisgi_wcdpqueo', 6], ['2.59.m_fy', '2.42180533641.abisgi_wcdpqueo', 6], ['2.59.a_ade', '2.1779197418239532716881.acdyclblk_ceigjnmadzwmkwyo', 12], ['2.59.au_hs', '2.3165543453070218706859776348972393302368161.eeaeylrhpthsiahg_gorsymkwftiezorbjwumaotrcfwcedy', 24], ['2.59.u_hs', '2.3165543453070218706859776348972393302368161.eeaeylrhpthsiahg_gorsymkwftiezorbjwumaotrcfwcedy', 24]], 'weak_equivalence_count': 4, 'zfv_index': 575, 'zfv_index_factorization': [[5, 2], [23, 1]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_plus_index': 5, 'zfv_plus_index_factorization': [[5, 1]], 'zfv_plus_norm': 529, 'zfv_singular_count': 4, 'zfv_singular_primes': ['5,11*F^2+9*F+V+12', '23,F^2+17*F-5*V-33']}
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av_fq_endalg_factors • Show schema
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id: 48266
{'base_label': '2.59.g_ax', 'extension_degree': 1, 'extension_label': '2.59.g_ax', 'multiplicity': 1}
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id: 48267
{'base_label': '2.59.g_ax', 'extension_degree': 3, 'extension_label': '1.205379.bgo', 'multiplicity': 2}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '4.0.576.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.59.g_ax', 'galois_group': '4T2', 'places': [['13', '2', '23', '0'], ['46', '2', '36', '0']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.8.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.205379.bgo', 'galois_group': '2T1', 'places': [['36', '1'], ['23', '1']]}
