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av_fq_isog • Show schema
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{'abvar_count': 3892, 'abvar_counts': [3892, 11878384, 42549788176, 146803760017600, 511143532908249052, 1779164344046286029056, 6193387542931975866953452, 21559174559987313837594182400, 75047499452054320467673436616976, 261240335490879676706245085690568304], 'abvar_counts_str': '3892 11878384 42549788176 146803760017600 511143532908249052 1779164344046286029056 6193387542931975866953452 21559174559987313837594182400 75047499452054320467673436616976 261240335490879676706245085690568304 ', 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.317263801822481, 0.983930468489148], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 67, 'curve_counts': [67, 3413, 207172, 12115161, 714961757, 42179749526, 2488652019263, 146830418214001, 8662996153183708, 511116753273819653], 'curve_counts_str': '67 3413 207172 12115161 714961757 42179749526 2488652019263 146830418214001 8662996153183708 511116753273819653 ', 'curves': ['y^2=26*x^6+6*x^5+12*x^4+53*x^3+50*x^2+57*x+50', 'y^2=8*x^6+51*x^5+31*x^4+43*x^3+32*x^2+7*x+26', 'y^2=52*x^6+30*x^5+17*x^4+10*x^3+58*x^2+58*x+22', 'y^2=14*x^6+26*x^5+17*x^4+31*x^3+12*x^2+20*x+17', 'y^2=47*x^6+5*x^5+36*x^4+52*x^3+6*x^2+46*x+39', 'y^2=12*x^6+4*x^5+53*x^4+52*x^3+47*x^2+27*x+21'], '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': 3, 'geometric_galois_groups': ['2T1'], 'geometric_number_fields': ['2.0.187.1'], 'geometric_splitting_field': '2.0.187.1', 'geometric_splitting_polynomials': [[47, -1, 1]], 'group_structure_count': 2, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 6, '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': 6, 'label': '2.59.h_ak', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 12, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [2], 'number_fields': ['4.0.314721.3'], 'p': 59, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, 7, -10, 413, 3481], 'poly_str': '1 7 -10 413 3481 ', 'primitive_models': [], 'q': 59, 'real_poly': [1, 7, -128], 'simple_distinct': ['2.59.h_ak'], 'simple_factors': ['2.59.h_akA'], 'simple_multiplicities': [1], 'singular_primes': ['2,F^2+F', '5,-F^2-F+5*V+32'], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.314721.3', 'splitting_polynomials': [[2209, -47, -46, -1, 1]], 'twist_count': 6, 'twists': [['2.59.ah_ak', '2.3481.acr_bxg', 2], ['2.59.ao_gl', '2.205379.cqy_crbfy', 3], ['2.59.a_cr', '2.42180533641.abspyi_bdqrhmcyo', 6], ['2.59.o_gl', '2.42180533641.abspyi_bdqrhmcyo', 6], ['2.59.a_acr', '2.1779197418239532716881.argzmbszk_ezsmbbrbffelacqo', 12]], 'weak_equivalence_count': 4, 'zfv_index': 10, 'zfv_index_factorization': [[2, 1], [5, 1]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 100, 'zfv_singular_count': 4, 'zfv_singular_primes': ['2,F^2+F', '5,-F^2-F+5*V+32']}
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av_fq_endalg_factors • Show schema
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id: 48122
{'base_label': '2.59.h_ak', 'extension_degree': 1, 'extension_label': '2.59.h_ak', 'multiplicity': 1}
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id: 48123
{'base_label': '2.59.h_ak', 'extension_degree': 3, 'extension_label': '1.205379.bim', 'multiplicity': 2}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '4.0.314721.3', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.59.h_ak', 'galois_group': '4T2', 'places': [['19', '58', '39', '56'], ['7', '45', '33', '2']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.187.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.205379.bim', 'galois_group': '2T1', 'places': [['3', '1'], ['55', '1']]}
