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av_fq_isog • Show schema
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{'abvar_count': 362, 'abvar_counts': [362, 131044, 47045882, 17172529936, 6131066257802, 2213315013157924, 799006685782884122, 288432560409845760000, 104127350297911241532842, 37589973457558220325871204], 'abvar_counts_str': '362 131044 47045882 17172529936 6131066257802 2213315013157924 799006685782884122 288432560409845760000 104127350297911241532842 37589973457558220325871204 ', 'angle_corank': 2, 'angle_rank': 0, 'angles': [0.25, 0.75], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 20, 'curve_counts': [20, 362, 6860, 131766, 2476100, 47045882, 893871740, 16983041758, 322687697780, 6131066257802], 'curve_counts_str': '20 362 6860 131766 2476100 47045882 893871740 16983041758 322687697780 6131066257802 ', 'curves': ['y^2=6*x^6+12*x^5+12*x^4+13*x^3+6*x^2+16*x+5', 'y^2=12*x^6+5*x^5+5*x^4+7*x^3+12*x^2+13*x+10', 'y^2=3*x^6+x^5+14*x^4+13*x^3+12*x^2+6*x', 'y^2=6*x^6+2*x^5+9*x^4+7*x^3+5*x^2+12*x', 'y^2=15*x^6+6*x^5+9*x^4+9*x^2+13*x+15', 'y^2=11*x^6+12*x^5+18*x^4+18*x^2+7*x+11', 'y^2=11*x^6+18*x^5+4*x^4+15*x^3+15*x^2+14*x+14', 'y^2=3*x^6+17*x^5+8*x^4+11*x^3+11*x^2+9*x+9', 'y^2=18*x^6+4*x^5+7*x^4+11*x^2+6*x', 'y^2=17*x^6+8*x^5+14*x^4+3*x^2+12*x', 'y^2=8*x^6+4*x^5+6*x^4+7*x^3+9*x^2+3*x+9', 'y^2=16*x^6+8*x^5+12*x^4+14*x^3+18*x^2+6*x+18', 'y^2=16*x^6+3*x^5+6*x^4+18*x^3+15*x+14', 'y^2=13*x^6+6*x^5+12*x^4+17*x^3+11*x+9', 'y^2=10*x^6+13*x^5+14*x^4+13*x^3+15*x^2+8*x+14', 'y^2=x^6+7*x^5+9*x^4+7*x^3+11*x^2+16*x+9', 'y^2=15*x^6+15*x^5+10*x^4+18*x^3+6*x+12', 'y^2=11*x^6+11*x^5+x^4+17*x^3+12*x+5', 'y^2=12*x^6+2*x^5+18*x^4+7*x^3+13*x^2+5*x+11', 'y^2=5*x^6+4*x^5+17*x^4+14*x^3+7*x^2+10*x+3', 'y^2=17*x^6+18*x^5+9*x^4+10*x^3+13*x^2+4*x+18', 'y^2=15*x^6+17*x^5+18*x^4+x^3+7*x^2+8*x+17', 'y^2=13*x^6+10*x^4+7*x^3+14*x^2+x+15', 'y^2=7*x^6+x^4+14*x^3+9*x^2+2*x+11', 'y^2=8*x^6+15*x^5+13*x^4+18*x^3+7*x^2+6*x', 'y^2=16*x^6+11*x^5+7*x^4+17*x^3+14*x^2+12*x', 'y^2=7*x^6+2*x^5+7*x^4+14*x^3+13*x^2+17*x+4', 'y^2=14*x^6+4*x^5+14*x^4+9*x^3+7*x^2+15*x+8', 'y^2=9*x^5+18*x^4+15*x^3+5*x+14', 'y^2=18*x^5+17*x^4+11*x^3+10*x+9', 'y^2=11*x^6+6*x^5+11*x^4+18*x^3+6*x^2+9*x+15', 'y^2=3*x^6+12*x^5+3*x^4+17*x^3+12*x^2+18*x+11'], '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': 2, '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': 1, 'geometric_extension_degree': 4, 'geometric_galois_groups': ['1T1'], 'geometric_number_fields': ['1.1.1.1'], 'geometric_splitting_field': '1.1.1.1', 'geometric_splitting_polynomials': [[0, 1]], 'group_structure_count': 1, 'has_geom_ss_factor': True, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 32, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': True, 'jacobian_count': 32, 'label': '2.19.a_a', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 4, 'max_twist_degree': 24, 'newton_coelevation': 0, 'newton_elevation': 2, 'number_fields': ['4.0.92416.2'], 'p': 19, 'p_rank': 0, 'p_rank_deficit': 2, 'poly': [1, 0, 0, 0, 361], 'poly_str': '1 0 0 0 361 ', 'primitive_models': [], 'q': 19, 'real_poly': [1, 0, -38], 'simple_distinct': ['2.19.a_a'], 'simple_factors': ['2.19.a_aA'], 'simple_multiplicities': [1], 'singular_primes': ['19,2*F-V-38,-17*F'], 'slopes': ['1/2A', '1/2B', '1/2C', '1/2D'], 'splitting_field': '4.0.92416.2', 'splitting_polynomials': [[361, 0, 0, 0, 1]], 'twist_count': 5, 'twists': [['2.19.a_abm', '2.16983563041.abdrdk_mrworbus', 8], ['2.19.a_bm', '2.16983563041.abdrdk_mrworbus', 8], ['2.19.a_at', '2.4898762930960846817716295277921.ackspenkzkiae_cesydcelmhaqkjnscpweyag', 24], ['2.19.a_t', '2.4898762930960846817716295277921.ackspenkzkiae_cesydcelmhaqkjnscpweyag', 24]], 'weak_equivalence_count': 2, 'zfv_index': 19, 'zfv_index_factorization': [[19, 1]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 1444, 'zfv_singular_count': 3, 'zfv_singular_primes': ['19,2*F-V-38,-17*F']}
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av_fq_endalg_factors • Show schema
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id: 11888
{'base_label': '2.19.a_a', 'extension_degree': 1, 'extension_label': '2.19.a_a', 'multiplicity': 1}
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id: 11889
{'base_label': '2.19.a_a', 'extension_degree': 2, 'extension_label': '1.361.a', 'multiplicity': 2}
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id: 11890
{'base_label': '2.19.a_a', 'extension_degree': 4, 'extension_label': '1.130321.bbu', 'multiplicity': 2}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0'], 'center': '4.0.92416.2', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.19.a_a', 'galois_group': '4T2', 'places': [['0', '1', '0', '0']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0'], 'center': '2.0.4.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.361.a', 'galois_group': '2T1', 'places': [['0', '0']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['1/2'], 'center': '1.1.1.1', 'center_dim': 1, 'divalg_dim': 4, 'extension_label': '1.130321.bbu', 'galois_group': '1T1', 'places': [['0']]}
