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av_fq_isog • Show schema
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{'abvar_count': 1250, 'abvar_counts': [1250, 922500, 902161250, 851006250000, 819429281281250, 787662785552602500, 756951099759518161250, 727424490738585600000000, 699053236806744851385601250, 671790528819081737936145562500], 'abvar_counts_str': '1250 922500 902161250 851006250000 819429281281250 787662785552602500 756951099759518161250 727424490738585600000000 699053236806744851385601250 671790528819081737936145562500 ', 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.41961520072172, 0.91961520072172], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 40, 'curve_counts': [40, 962, 30280, 921478, 28622200, 887503682, 27512874520, 852892642558, 26439607667560, 819628286980802], 'curve_counts_str': '40 962 30280 921478 28622200 887503682 27512874520 852892642558 26439607667560 819628286980802 ', 'curves': ['y^2=8*x^6+16*x^5+14*x^4+29*x^3+22*x^2+4*x+30', 'y^2=16*x^5+29*x^4+30*x^3+23*x^2+3*x+8', 'y^2=28*x^6+10*x^5+23*x^4+23*x^2+21*x+28', 'y^2=5*x^6+x^5+5*x^4+5*x^3+14*x+10', 'y^2=14*x^6+x^5+17*x^4+7*x^3+5*x^2+23*x+18', 'y^2=22*x^6+10*x^5+17*x^4+11*x^3+4*x^2+2*x+25', 'y^2=7*x^6+21*x^5+30*x^4+7*x^3+25*x^2+17*x+21', 'y^2=27*x^6+28*x^5+28*x^4+28*x^2+3*x+27', 'y^2=16*x^6+13*x^5+15*x^4+4*x^3+20*x^2+19*x+28', 'y^2=8*x^6+10*x^5+23*x^4+4*x^3+x^2+x+19', 'y^2=15*x^6+29*x^5+19*x^4+7*x^3+11*x^2+16*x+12', 'y^2=7*x^6+6*x^5+17*x^4+17*x^3+2*x^2+4*x+9', 'y^2=8*x^6+22*x^5+14*x^4+27*x^3+20*x^2+13*x+5', 'y^2=14*x^6+21*x^5+x^4+23*x^3+19*x^2+16*x+25', 'y^2=8*x^5+4*x^4+18*x^3+23*x^2+29*x+2', 'y^2=16*x^6+9*x^5+29*x^4+x+23', 'y^2=8*x^6+12*x^5+27*x^4+2*x^3+24*x^2+2*x+17', 'y^2=22*x^6+7*x^5+21*x^4+5*x^2+16*x+20', 'y^2=8*x^6+22*x^5+29*x^4+12*x^3+6*x^2+9*x+25', 'y^2=18*x^6+30*x^5+3*x^3+4*x^2+5*x+23', 'y^2=8*x^6+x^5+27*x^3+24*x^2+18*x+14', 'y^2=28*x^6+24*x^5+4*x^4+11*x^3+8*x^2+16*x+23', 'y^2=20*x^6+22*x^5+27*x^4+17*x^3+29*x+6', 'y^2=12*x^6+25*x^5+10*x^4+4*x^3+10*x^2+30*x+6', 'y^2=24*x^6+4*x^5+12*x^4+12*x^3+27*x^2+27*x+16', 'y^2=20*x^6+25*x^5+30*x^4+26*x^3+16*x^2+6*x+24'], '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': 4, 'geometric_galois_groups': ['2T1'], 'geometric_number_fields': ['2.0.184.1'], 'geometric_splitting_field': '2.0.184.1', 'geometric_splitting_polynomials': [[46, 0, 1]], 'group_structure_count': 2, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 26, 'is_cyclic': False, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 26, 'label': '2.31.i_bg', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 8, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [5], 'number_fields': ['4.0.135424.2'], 'p': 31, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, 8, 32, 248, 961], 'poly_str': '1 8 32 248 961 ', 'primitive_models': [], 'q': 31, 'real_poly': [1, 8, -30], 'simple_distinct': ['2.31.i_bg'], 'simple_factors': ['2.31.i_bgA'], 'simple_multiplicities': [1], 'singular_primes': ['5,10*F+7*V+63', '3,2*F+4*V+33'], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.135424.2', 'splitting_polynomials': [[529, 0, 0, 0, 1]], 'twist_count': 4, 'twists': [['2.31.ai_bg', '2.961.a_abni', 2], ['2.31.a_abe', '2.852891037441.dnilg_lgowonody', 8], ['2.31.a_be', '2.852891037441.dnilg_lgowonody', 8]], 'weak_equivalence_count': 4, 'zfv_index': 15, 'zfv_index_factorization': [[3, 1], [5, 1]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 900, 'zfv_singular_count': 4, 'zfv_singular_primes': ['5,10*F+7*V+63', '3,2*F+4*V+33']}
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av_fq_endalg_factors • Show schema
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id: 19915
{'base_label': '2.31.i_bg', 'extension_degree': 1, 'extension_label': '2.31.i_bg', 'multiplicity': 1}
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id: 19916
{'base_label': '2.31.i_bg', 'extension_degree': 2, 'extension_label': '2.961.a_abni', 'multiplicity': 1}
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id: 19917
{'base_label': '2.31.i_bg', 'extension_degree': 4, 'extension_label': '1.923521.abni', 'multiplicity': 2}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '4.0.135424.2', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.31.i_bg', 'galois_group': '4T2', 'places': [['15', '23', '29', '0'], ['16', '23', '2', '0']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '4.0.135424.2', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.961.a_abni', 'galois_group': '4T2', 'places': [['15', '23', '29', '0'], ['16', '23', '2', '0']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.184.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.923521.abni', 'galois_group': '2T1', 'places': [['27', '1'], ['4', '1']]}
