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av_fq_isog • Show schema
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{'abvar_count': 530, 'abvar_counts': [530, 280900, 148035890, 78904810000, 41426511213650, 21914624728092100, 11592836324538749810, 6132522757653135360000, 3244150909895248285300370, 1716155831334669195946322500], 'abvar_counts_str': '530 280900 148035890 78904810000 41426511213650 21914624728092100 11592836324538749810 6132522757653135360000 3244150909895248285300370 1716155831334669195946322500 ', 'angle_corank': 2, 'angle_rank': 0, 'angles': [0.25, 0.75], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 24, 'curve_counts': [24, 530, 12168, 281958, 6436344, 148035890, 3404825448, 78309865918, 1801152661464, 41426511213650], 'curve_counts_str': '24 530 12168 281958 6436344 148035890 3404825448 78309865918 1801152661464 41426511213650 ', 'curves': ['y^2=x^5+22', 'y^2=5*x^5+18', 'y^2=17*x^6+20*x^5+4*x^4+x^2+22*x+19', 'y^2=16*x^6+8*x^5+20*x^4+5*x^2+18*x+3', 'y^2=2*x^6+20*x^5+21*x^4+x^3+22*x^2+6*x+16', 'y^2=10*x^6+8*x^5+13*x^4+5*x^3+18*x^2+7*x+11', 'y^2=13*x^6+6*x^5+21*x^4+20*x^3+17*x^2+13*x+10', 'y^2=19*x^6+7*x^5+13*x^4+8*x^3+16*x^2+19*x+4', 'y^2=19*x^6+14*x^5+19*x^4+20*x^3+22*x^2+8*x+4', 'y^2=3*x^6+x^5+3*x^4+8*x^3+18*x^2+17*x+20', 'y^2=21*x^6+4*x^5+4*x^4+13*x^3+16*x^2+7*x', 'y^2=13*x^6+20*x^5+20*x^4+19*x^3+11*x^2+12*x', 'y^2=22*x^6+9*x^5+10*x^4+22*x^3+6*x^2+2*x+21', 'y^2=18*x^6+22*x^5+4*x^4+18*x^3+7*x^2+10*x+13', 'y^2=15*x^6+5*x^5+9*x^4+10*x^3+13*x^2+14*x+9', 'y^2=6*x^6+2*x^5+22*x^4+4*x^3+19*x^2+x+22', 'y^2=12*x^6+15*x^5+10*x^4+2*x^3+x^2+12*x+3', 'y^2=14*x^6+6*x^5+4*x^4+10*x^3+5*x^2+14*x+15', 'y^2=x^6+10*x^5+15*x^4+3*x^3+16*x^2+21*x+20', 'y^2=14*x^6+11*x^5+6*x^4+5*x^3+8*x^2+10*x+15', 'y^2=x^6+9*x^5+7*x^4+2*x^3+17*x^2+4*x+6', 'y^2=7*x^6+19*x^5+13*x^4+19*x^3+21*x^2+15*x+3', 'y^2=12*x^6+3*x^5+19*x^4+3*x^3+13*x^2+6*x+15', 'y^2=7*x^6+22*x^5+15*x^4+8*x^3+18*x^2+11*x+1', 'y^2=12*x^6+18*x^5+6*x^4+17*x^3+21*x^2+9*x+5'], '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': 25, 'is_cyclic': True, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': True, 'jacobian_count': 25, 'label': '2.23.a_a', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 4, 'max_twist_degree': 24, 'newton_coelevation': 0, 'newton_elevation': 2, 'noncyclic_primes': [], 'number_fields': ['4.0.135424.2'], 'p': 23, 'p_rank': 0, 'p_rank_deficit': 2, 'poly': [1, 0, 0, 0, 529], 'poly_str': '1 0 0 0 529 ', 'primitive_models': [], 'q': 23, 'real_poly': [1, 0, -46], 'simple_distinct': ['2.23.a_a'], 'simple_factors': ['2.23.a_aA'], 'simple_multiplicities': [1], 'singular_primes': ['23,-48*V-46,F+23'], 'slopes': ['1/2A', '1/2B', '1/2C', '1/2D'], 'splitting_field': '4.0.135424.2', 'splitting_polynomials': [[529, 0, 0, 0, 1]], 'twist_count': 5, 'twists': [['2.23.a_abu', '2.78310985281.aclrwm_cgnakzksc', 8], ['2.23.a_bu', '2.78310985281.aclrwm_cgnakzksc', 8], ['2.23.a_ax', '2.480250763996501976790165756943041.axwyvznnboyae_ifxisaxddgwkxtmrjsnmsuag', 24], ['2.23.a_x', '2.480250763996501976790165756943041.axwyvznnboyae_ifxisaxddgwkxtmrjsnmsuag', 24]], 'weak_equivalence_count': 2, 'zfv_index': 23, 'zfv_index_factorization': [[23, 1]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 2116, 'zfv_singular_count': 3, 'zfv_singular_primes': ['23,-48*V-46,F+23']}
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av_fq_endalg_factors • Show schema
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id: 13268
{'base_label': '2.23.a_a', 'extension_degree': 1, 'extension_label': '2.23.a_a', 'multiplicity': 1}
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id: 13269
{'base_label': '2.23.a_a', 'extension_degree': 2, 'extension_label': '1.529.a', 'multiplicity': 2}
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id: 13270
{'base_label': '2.23.a_a', 'extension_degree': 4, 'extension_label': '1.279841.bos', 'multiplicity': 2}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0'], 'center': '4.0.135424.2', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.23.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': '1.529.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': '1.279841.bos', 'galois_group': '1T1', 'places': [['0']]}
