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av_fq_isog • Show schema
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{'abvar_count': 400, 'abvar_counts': [400, 160000, 47059600, 16796160000, 6131071210000, 2214605952160000, 799006687570627600, 288432560409845760000, 104127350298556616928400, 37590034182090864100000000], 'abvar_counts_str': '400 160000 47059600 16796160000 6131071210000 2214605952160000 799006687570627600 288432560409845760000 104127350298556616928400 37590034182090864100000000 ', 'angle_corank': 2, 'angle_rank': 0, 'angles': [0.5, 0.5], 'center_dim': 2, 'curve_count': 20, 'curve_counts': [20, 438, 6860, 128878, 2476100, 47073318, 893871740, 16983041758, 322687697780, 6131076162198], 'curve_counts_str': '20 438 6860 128878 2476100 47073318 893871740 16983041758 322687697780 6131076162198 ', 'curves': ['y^2=x^5+18', 'y^2=2*x^5+17', 'y^2=9*x^6+10*x^5+6*x^4+16*x^3+2*x^2+6*x+3', 'y^2=16*x^6+4*x^4+4*x^2+16', 'y^2=13*x^6+8*x^4+8*x^2+13', 'y^2=16*x^6+8*x^4+16*x^2+14', 'y^2=5*x^6+4*x^4+8*x^2+2', 'y^2=2*x^6+17*x^5+15*x^4+11*x^2+8*x+16', 'y^2=5*x^6+8*x^5+17*x^4+17*x^3+17*x^2+8*x+5', 'y^2=10*x^6+16*x^5+15*x^4+15*x^3+15*x^2+16*x+10', 'y^2=7*x^6+13*x^5+18*x^3+13*x+7', 'y^2=14*x^6+7*x^5+17*x^3+7*x+14'], 'dim1_distinct': 1, '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, 'g': 2, 'galois_groups': ['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': 1, 'geometric_extension_degree': 2, 'geometric_galois_groups': ['1T1'], 'geometric_number_fields': ['1.1.1.1'], 'geometric_splitting_field': '1.1.1.1', 'geometric_splitting_polynomials': [[0, 1]], 'has_geom_ss_factor': True, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 12, 'is_cyclic': False, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': False, 'is_squarefree': False, 'is_supersingular': True, 'jacobian_count': 12, 'label': '2.19.a_bm', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 4, 'max_twist_degree': 12, 'newton_coelevation': 0, 'newton_elevation': 2, 'noncyclic_primes': [2, 5], 'number_fields': ['2.0.19.1'], 'p': 19, 'p_rank': 0, 'p_rank_deficit': 2, 'poly': [1, 0, 38, 0, 361], 'poly_str': '1 0 38 0 361 ', 'primitive_models': [], 'q': 19, 'real_poly': [1], 'simple_distinct': ['1.19.a'], 'simple_factors': ['1.19.aA', '1.19.aB'], 'simple_multiplicities': [2], 'slopes': ['1/2A', '1/2B', '1/2C', '1/2D'], 'splitting_field': '2.0.19.1', 'splitting_polynomials': [[5, -1, 1]], 'twist_count': 5, 'twists': [['2.19.a_at', '2.6859.a_uhq', 3], ['2.19.a_abm', '2.130321.acdo_bsmsc', 4], ['2.19.a_a', '2.16983563041.abdrdk_mrworbus', 8], ['2.19.a_t', '2.2213314919066161.apvuvzw_dqbwtudmcmag', 12]]}
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av_fq_endalg_factors • Show schema
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id: 12583
{'base_label': '2.19.a_bm', 'extension_degree': 1, 'extension_label': '1.19.a', 'multiplicity': 2}
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id: 12584
{'base_label': '2.19.a_bm', 'extension_degree': 2, 'extension_label': '1.361.bm', 'multiplicity': 2}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0'], 'center': '2.0.19.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.19.a', 'galois_group': '2T1', 'places': [['9', '1']]}
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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': '1.361.bm', 'galois_group': '1T1', 'places': [['0']]}
