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av_fq_isog • Show schema
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{'abvar_count': 120, 'abvar_counts': [120, 14400, 1772280, 221414400, 25937283000, 3140976398400, 379749856772280, 45938000465510400, 5559917310046435320, 672742649422089000000], 'abvar_counts_str': '120 14400 1772280 221414400 25937283000 3140976398400 379749856772280 45938000465510400 5559917310046435320 672742649422089000000 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.235511365082072, 0.764488634917928], 'center_dim': 4, 'cohen_macaulay_max': 2, 'curve_count': 12, 'curve_counts': [12, 118, 1332, 15118, 161052, 1772998, 19487172, 214304158, 2357947692, 25937141398], 'curve_counts_str': '12 118 1332 15118 161052 1772998 19487172 214304158 2357947692 25937141398 ', 'curves': ['y^2=10*x^5+10*x^3+5*x^2+9*x', 'y^2=9*x^5+9*x^3+10*x^2+7*x', 'y^2=4*x^6+5*x^5+x^4+x^3+9*x^2+9*x+3', 'y^2=6*x^6+8*x^5+9*x^4+6*x^3+2*x^2+6*x+7', 'y^2=x^6+5*x^5+7*x^4+x^3+4*x^2+x+3', 'y^2=8*x^6+9*x^5+10*x^4+4*x^3+2*x^2+2*x+7', 'y^2=8*x^5+8*x^4+2*x^3+6*x^2+8*x+1', 'y^2=2*x^5+7*x^4+x^3+2*x^2+7*x+3', 'y^2=4*x^6+8*x^5+7*x^4+5*x^3+6*x^2+9*x+4', 'y^2=4*x^6+8*x^5+5*x^4+8*x^3+4*x^2+2*x+4', 'y^2=8*x^6+5*x^5+10*x^4+5*x^3+8*x^2+4*x+8', 'y^2=6*x^6+10*x^5+9*x^4+4*x^3+7*x^2+4*x+9', 'y^2=x^6+9*x^5+7*x^4+8*x^3+3*x^2+8*x+7', 'y^2=7*x^6+2*x^5+8*x^4+4*x^3+3*x^2+8*x+9', 'y^2=3*x^6+4*x^5+5*x^4+8*x^3+6*x^2+5*x+7', 'y^2=x^6+7*x^4+x^3+6*x^2+8*x+7', 'y^2=7*x^6+4*x^5+5*x^4+9*x^3+8*x^2+7*x', 'y^2=3*x^6+8*x^5+10*x^4+7*x^3+5*x^2+3*x', 'y^2=3*x^6+10*x^5+7*x^4+x^3+3*x^2+7*x+4', 'y^2=5*x^6+10*x^5+3*x^4+3*x^3+10*x^2+6*x+3', 'y^2=9*x^6+5*x^5+6*x^4+2*x^3+8*x^2+8*x+1', 'y^2=7*x^6+10*x^5+x^4+4*x^3+5*x^2+5*x+2'], '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': 2, 'geometric_galois_groups': ['2T1'], 'geometric_number_fields': ['2.0.120.1'], 'geometric_splitting_field': '2.0.120.1', 'geometric_splitting_polynomials': [[30, 0, 1]], 'group_structure_count': 3, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 22, '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': 22, 'label': '2.11.a_ac', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 4, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [2], 'number_fields': ['4.0.57600.5'], 'p': 11, 'p_rank': 2, 'p_rank_deficit': 0, 'pic_prime_gens': [[1, 3, 1, 8], [1, 3, 2, 8], [1, 5, 1, 4]], 'poly': [1, 0, -2, 0, 121], 'poly_str': '1 0 -2 0 121 ', 'primitive_models': [], 'principal_polarization_count': 28, 'q': 11, 'real_poly': [1, 0, -24], 'simple_distinct': ['2.11.a_ac'], 'simple_factors': ['2.11.a_acA'], 'simple_multiplicities': [1], 'singular_primes': ['2,V+1'], 'size': 76, 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.57600.5', 'splitting_polynomials': [[81, 0, 12, 0, 1]], 'twist_count': 2, 'twists': [['2.11.a_c', '2.14641.si_excw', 4]], 'weak_equivalence_count': 5, 'zfv_index': 8, 'zfv_index_factorization': [[2, 3]], 'zfv_is_bass': False, 'zfv_is_maximal': False, 'zfv_pic_size': 32, 'zfv_plus_index': 2, 'zfv_plus_index_factorization': [[2, 1]], 'zfv_plus_norm': 400, 'zfv_singular_count': 2, 'zfv_singular_primes': ['2,V+1']}
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av_fq_endalg_factors • Show schema
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id: 8529
{'base_label': '2.11.a_ac', 'extension_degree': 1, 'extension_label': '2.11.a_ac', 'multiplicity': 1}
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id: 8530
{'base_label': '2.11.a_ac', 'extension_degree': 2, 'extension_label': '1.121.ac', 'multiplicity': 2}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '4.0.57600.5', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.11.a_ac', 'galois_group': '4T2', 'places': [['4', '3', '8', '1'], ['7', '3', '3', '1']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.120.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.121.ac', 'galois_group': '2T1', 'places': [['5', '1'], ['6', '1']]}
