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av_fq_isog • Show schema
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{'abvar_count': 108, 'abvar_counts': [108, 11664, 1773900, 215737344, 25937522028, 3146721210000, 379749794870988, 45961377577058304, 5559917313846581100, 672755048952985232784], 'abvar_counts_str': '108 11664 1773900 215737344 25937522028 3146721210000 379749794870988 45961377577058304 5559917313846581100 672755048952985232784 ', 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.140218899003772, 0.859781100996228], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 12, 'curve_counts': [12, 94, 1332, 14734, 161052, 1776238, 19487172, 214413214, 2357947692, 25937619454], 'curve_counts_str': '12 94 1332 14734 161052 1776238 19487172 214413214 2357947692 25937619454 ', 'curves': ['y^2=x^6+6*x^5+2*x^3+7*x+7', 'y^2=9*x^6+9*x^5+9*x^4+6*x^3+2*x^2+9*x+2', 'y^2=x^5+x', 'y^2=2*x^5+10*x^4+8*x^3+4*x^2+10*x', 'y^2=9*x^6+x^5+9*x^4+4*x^3+6*x^2+9*x+10', 'y^2=6*x^6+x^5+x^4+8*x^3+10*x^2+x+5'], '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': 20, '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': ['2.0.8.1'], 'geometric_splitting_field': '2.0.8.1', 'geometric_splitting_polynomials': [[2, 0, 1]], 'group_structure_count': 4, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 6, 'is_cyclic': False, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': False, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 6, 'label': '2.11.a_ao', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 8, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [2, 3], 'number_fields': ['2.0.8.1', '2.0.8.1'], 'p': 11, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, 0, -14, 0, 121], 'poly_str': '1 0 -14 0 121 ', 'primitive_models': [], 'q': 11, 'real_poly': [1, 0, -36], 'simple_distinct': ['1.11.ag', '1.11.g'], 'simple_factors': ['1.11.agA', '1.11.gA'], 'simple_multiplicities': [1, 1], 'singular_primes': ['2,-V-3', '3,4*F+7', '3,8*F-2'], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '2.0.8.1', 'splitting_polynomials': [[2, 0, 1]], 'twist_count': 8, 'twists': [['2.11.am_cg', '2.121.abc_qw', 2], ['2.11.m_cg', '2.121.abc_qw', 2], ['2.11.a_o', '2.14641.do_bulq', 4], ['2.11.ag_z', '2.1771561.gxw_tspmc', 6], ['2.11.g_z', '2.1771561.gxw_tspmc', 6], ['2.11.ae_i', '2.214358881.dcjs_dufcvji', 8], ['2.11.e_i', '2.214358881.dcjs_dufcvji', 8]], 'weak_equivalence_count': 20, 'zfv_index': 144, 'zfv_index_factorization': [[2, 4], [3, 2]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 64, 'zfv_singular_count': 6, 'zfv_singular_primes': ['2,-V-3', '3,4*F+7', '3,8*F-2']}
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av_fq_endalg_factors • Show schema
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id: 8753
{'base_label': '2.11.a_ao', 'extension_degree': 1, 'extension_label': '1.11.ag', 'multiplicity': 1}
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id: 8754
{'base_label': '2.11.a_ao', 'extension_degree': 1, 'extension_label': '1.11.g', 'multiplicity': 1}
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id: 8755
{'base_label': '2.11.a_ao', 'extension_degree': 2, 'extension_label': '1.121.ao', 'multiplicity': 2}
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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': '1.11.ag', 'galois_group': '2T1', 'places': [['8', '1'], ['3', '1']]}
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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': '1.11.g', 'galois_group': '2T1', 'places': [['3', '1'], ['8', '1']]}
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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': '1.121.ao', 'galois_group': '2T1', 'places': [['8', '1'], ['3', '1']]}
