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av_fq_isog • Show schema
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{'abvar_count': 3007, 'abvar_counts': [3007, 11928769, 41810434576, 146781415010425, 511101762492651727, 1779163129258415769856, 6193381199375557108638007, 21559176252312776857771374825, 75047493404593669644288090466576, 261240334998485220504197952859252129], 'abvar_counts_str': '3007 11928769 41810434576 146781415010425 511101762492651727 1779163129258415769856 6193381199375557108638007 21559176252312776857771374825 75047493404593669644288090466576 261240334998485220504197952859252129 ', 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.00768306809499537, 0.658983598571671], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 52, 'curve_counts': [52, 3428, 203572, 12113316, 714903332, 42179720726, 2488649470268, 146830429739716, 8662995455104108, 511116752310449828], 'curve_counts_str': '52 3428 203572 12113316 714903332 42179720726 2488649470268 146830429739716 8662995455104108 511116752310449828 ', 'curves': ['y^2=7*x^6+34*x^5+50*x^4+3*x^3+45*x^2+10*x+3', 'y^2=51*x^6+51*x^5+40*x^4+37*x^3+29*x^2+35*x+48', 'y^2=47*x^6+x^5+45*x^4+43*x^3+54*x^2+6*x+36', 'y^2=56*x^6+58*x^5+29*x^4+37*x^3+58*x^2+4*x+57', 'y^2=45*x^6+22*x^5+28*x^4+54*x^3+37*x^2+43*x+3', 'y^2=17*x^6+55*x^4+42*x^3+40*x^2+34*x+43', 'y^2=30*x^6+48*x^5+14*x^4+44*x^3+57*x^2+44*x+41', 'y^2=26*x^6+13*x^5+39*x^4+5*x^3+2*x^2+34*x+41'], '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': ['2.0.43.1'], 'geometric_splitting_field': '2.0.43.1', 'geometric_splitting_polynomials': [[11, -1, 1]], 'group_structure_count': 1, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 8, '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': 8, 'label': '2.59.ai_f', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 12, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [], 'number_fields': ['4.0.16641.1'], 'p': 59, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, -8, 5, -472, 3481], 'poly_str': '1 -8 5 -472 3481 ', 'primitive_models': [], 'q': 59, 'real_poly': [1, -8, -113], 'simple_distinct': ['2.59.ai_f'], 'simple_factors': ['2.59.ai_fA'], 'simple_multiplicities': [1], 'singular_primes': ['2,2*F^2+F-V+5', '5,-F^2-F-V'], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.16641.1', 'splitting_polynomials': [[121, -11, -10, -1, 1]], 'twist_count': 6, 'twists': [['2.59.i_f', '2.3481.acc_avt', 2], ['2.59.q_ha', '2.205379.acro_crwnu', 3], ['2.59.aq_ha', '2.42180533641.abugoa_bfbxbxnfy', 6], ['2.59.a_cc', '2.42180533641.abugoa_bfbxbxnfy', 6], ['2.59.i_f', '2.42180533641.abugoa_bfbxbxnfy', 6], ['2.59.a_acc', '2.1779197418239532716881.audlaynoe_gamnsnstkykyzwqg', 12]], 'weak_equivalence_count': 4, 'zfv_index': 20, 'zfv_index_factorization': [[2, 2], [5, 1]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_plus_index': 2, 'zfv_plus_index_factorization': [[2, 1]], 'zfv_plus_norm': 25, 'zfv_singular_count': 4, 'zfv_singular_primes': ['2,2*F^2+F-V+5', '5,-F^2-F-V']}
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av_fq_endalg_factors • Show schema
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id: 50924
{'base_label': '2.59.ai_f', 'extension_degree': 1, 'extension_label': '2.59.ai_f', 'multiplicity': 1}
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id: 50925
{'base_label': '2.59.ai_f', 'extension_degree': 3, 'extension_label': '1.205379.abiu', 'multiplicity': 2}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '4.0.16641.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.59.ai_f', 'galois_group': '4T2', 'places': [['22', '26', '25', '32'], ['17', '33', '22', '14']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.43.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.205379.abiu', 'galois_group': '2T1', 'places': [['31', '1'], ['27', '1']]}
