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av_fq_isog • Show schema
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{'abvar_count': 560, 'abvar_counts': [560, 134400, 47443760, 16895692800, 6127525434800, 2214458373254400, 798955336426908080, 288441377596986163200, 104127035130772945993520, 37590021609569095164960000], 'abvar_counts_str': '560 134400 47443760 16895692800 6127525434800 2214458373254400 798955336426908080 288441377596986163200 104127035130772945993520 37590021609569095164960000 ', 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.5, 0.869926530853497], 'center_dim': 4, 'cohen_macaulay_max': 3, 'curve_count': 28, 'curve_counts': [28, 374, 6916, 129646, 2474668, 47070182, 893814292, 16983560926, 322686721084, 6131074111574], 'curve_counts_str': '28 374 6916 129646 2474668 47070182 893814292 16983560926 322686721084 6131074111574 ', 'curves': ['y^2=15*x^5+4*x^4+5*x^3+11*x^2+15*x+5', 'y^2=11*x^6+16*x^5+7*x^4+2*x^3+x^2+15*x+10', 'y^2=9*x^6+9*x^5+11*x^4+10*x^3+x^2+17', 'y^2=7*x^5+17*x^4+5*x^3+16*x^2+18*x+14', 'y^2=16*x^6+8*x^5+5*x^4+6*x^3+2*x^2+15*x+10', 'y^2=18*x^6+16*x^5+14*x^4+15*x^3+7*x^2+x+9', 'y^2=3*x^6+4*x^5+x^4+5*x^3+15*x^2+12*x+5', 'y^2=x^6+13*x^5+10*x^4+17*x^3+18*x^2+14*x+11', 'y^2=14*x^5+14*x^4+13*x^3+14*x^2+14*x', 'y^2=3*x^6+4*x^5+10*x^4+11*x^3+x^2+13*x+6', 'y^2=5*x^6+17*x^5+11*x^4+8*x^3+2*x^2+3*x+9', 'y^2=11*x^6+6*x^5+8*x^4+2*x^3+15*x^2+12*x+2', 'y^2=5*x^6+12*x^5+9*x^4+3*x^3+12*x^2+11*x+9', 'y^2=16*x^6+4*x^5+9*x^4+6*x^3+13*x^2+8*x+17', 'y^2=10*x^6+9*x^5+16*x^4+2*x^3+14*x+11', 'y^2=13*x^6+6*x^5+12*x^4+3*x^3+18*x^2+10*x+1', 'y^2=9*x^6+2*x^5+14*x^4+x^3+8*x^2+13*x+1', 'y^2=5*x^6+6*x^5+18*x^4+2*x^3+11*x^2+18*x+16', 'y^2=11*x^6+2*x^5+18*x^4+2*x^3+x^2+10*x+14', 'y^2=2*x^6+2*x^5+3*x^4+10*x^3+8*x^2+10*x+14', 'y^2=12*x^5+9*x^4+6*x^3+9*x^2+12*x', 'y^2=9*x^6+10*x^5+6*x^4+12*x^3+4*x^2+14*x+14', 'y^2=17*x^6+4*x^5+2*x^4+9*x^3+8*x^2+7*x+13', 'y^2=16*x^6+14*x^5+18*x^4+9*x^3+10*x^2+11*x+7', 'y^2=6*x^6+18*x^5+4*x^3+8*x^2+2*x+2', 'y^2=14*x^6+3*x^5+12*x^4+3*x^3+12*x^2+3*x+14', 'y^2=x^6+x^5+8*x^4+7*x^3+8*x^2+x+1', 'y^2=18*x^6+2*x^5+11*x^4+16*x^3+6*x^2+13*x+12', 'y^2=5*x^6+14*x^5+12*x^4+4*x^3+12*x^2+14*x+5', 'y^2=6*x^6+12*x^5+11*x^4+7*x^3+9*x^2+9*x'], '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': 17, 'g': 2, 'galois_groups': ['2T1', '2T1'], 'geom_dim1_distinct': 2, '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': 3, 'geometric_extension_degree': 2, 'geometric_galois_groups': ['1T1', '2T1'], 'geometric_number_fields': ['1.1.1.1', '2.0.3.1'], 'geometric_splitting_field': '2.0.3.1', 'geometric_splitting_polynomials': [[1, -1, 1]], 'group_structure_count': 5, 'has_geom_ss_factor': True, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 30, 'is_cyclic': False, 'is_geometrically_simple': False, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': False, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 30, 'label': '2.19.i_bm', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 4, 'max_twist_degree': 6, 'newton_coelevation': 1, 'newton_elevation': 1, 'noncyclic_primes': [2], 'number_fields': ['2.0.19.1', '2.0.3.1'], 'p': 19, 'p_rank': 1, 'p_rank_deficit': 1, 'poly': [1, 8, 38, 152, 361], 'poly_str': '1 8 38 152 361 ', 'primitive_models': [], 'q': 19, 'real_poly': [1, 8], 'simple_distinct': ['1.19.a', '1.19.i'], 'simple_factors': ['1.19.aA', '1.19.iA'], 'simple_multiplicities': [1, 1], 'singular_primes': ['2,F+13'], 'slopes': ['0A', '1/2A', '1/2B', '1A'], 'splitting_field': '4.0.3249.1', 'splitting_polynomials': [[25, -5, -4, -1, 1]], 'twist_count': 6, 'twists': [['2.19.ai_bm', '2.361.m_akg', 2], ['2.19.ah_bm', '2.6859.ce_uhq', 3], ['2.19.ab_bm', '2.6859.ce_uhq', 3], ['2.19.b_bm', '2.47045881.bjyq_udoqly', 6], ['2.19.h_bm', '2.47045881.bjyq_udoqly', 6]], 'weak_equivalence_count': 23, 'zfv_index': 256, 'zfv_index_factorization': [[2, 8]], 'zfv_is_bass': False, 'zfv_is_maximal': False, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 912, 'zfv_singular_count': 2, 'zfv_singular_primes': ['2,F+13']}
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av_fq_endalg_factors • Show schema
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id: 12351
{'base_label': '2.19.i_bm', 'extension_degree': 1, 'extension_label': '1.19.a', 'multiplicity': 1}
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id: 12352
{'base_label': '2.19.i_bm', 'extension_degree': 1, 'extension_label': '1.19.i', 'multiplicity': 1}
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id: 12353
{'base_label': '2.19.i_bm', 'extension_degree': 2, 'extension_label': '1.361.aba', 'multiplicity': 1}
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id: 12354
{'base_label': '2.19.i_bm', 'extension_degree': 2, 'extension_label': '1.361.bm', 'multiplicity': 1}
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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': ['0', '0'], 'center': '2.0.3.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.19.i', 'galois_group': '2T1', 'places': [['11', '1'], ['7', '1']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.3.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.361.aba', 'galois_group': '2T1', 'places': [['7', '1'], ['11', '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']]}
