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av_fq_isog • Show schema
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{'abvar_count': 1222, 'abvar_counts': [1222, 1024036, 874195582, 851625202896, 820042543756462, 787657546889368324, 756936764228459144278, 727423627419218922476544, 699053656013763782327673142, 671790533458589405839447716676], 'abvar_counts_str': '1222 1024036 874195582 851625202896 820042543756462 787657546889368324 756936764228459144278 727423627419218922476544 699053656013763782327673142 671790533458589405839447716676 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.536323198845753, 0.639708574347204], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 38, 'curve_counts': [38, 1062, 29342, 922150, 28643618, 887497782, 27512353466, 852891630334, 26439623522822, 819628292641302], 'curve_counts_str': '38 1062 29342 922150 28643618 887497782 27512353466 852891630334 26439623522822 819628292641302 ', 'curves': ['y^2=2*x^6+5*x^5+5*x^4+27*x^3+4*x^2+18*x+6', 'y^2=26*x^6+21*x^5+9*x^4+21*x^3+3*x^2+21*x+20', 'y^2=18*x^6+x^5+11*x^4+27*x^3+5*x^2+22*x+4', 'y^2=9*x^6+15*x^5+15*x^4+15*x^3+7*x^2+x+2', 'y^2=x^5+8*x^4+21*x^3+5*x^2+10*x+9', 'y^2=21*x^6+26*x^5+14*x^4+2*x^3+11*x^2+5*x+6', 'y^2=5*x^6+x^5+15*x^4+12*x^3+27*x^2+6*x+24', 'y^2=14*x^6+29*x^4+9*x^3+8*x^2+12*x', 'y^2=28*x^6+24*x^5+24*x^4+23*x^3+4*x^2+20*x+3', 'y^2=x^6+8*x^5+22*x^4+28*x^3+4*x^2+14*x+19', 'y^2=4*x^6+11*x^5+10*x^4+17*x^3+10*x^2+29*x+6', 'y^2=23*x^6+14*x^5+13*x^4+26*x^3+7*x^2+25*x+29', 'y^2=19*x^6+23*x^5+18*x^4+8*x^3+8*x^2+30*x+3', 'y^2=25*x^6+11*x^5+24*x^4+3*x^3+17*x^2+25*x+26'], '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': 1, 'g': 2, 'galois_groups': ['4T3'], 'geom_dim1_distinct': 0, 'geom_dim1_factors': 0, 'geom_dim2_distinct': 1, 'geom_dim2_factors': 1, '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': 4, 'geometric_extension_degree': 1, 'geometric_galois_groups': ['4T3'], 'geometric_number_fields': ['4.0.1790784.1'], 'geometric_splitting_field': '4.0.1790784.1', 'geometric_splitting_polynomials': [[829, -46, 56, -2, 1]], 'group_structure_count': 1, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 14, 'is_cyclic': True, 'is_geometrically_simple': True, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 14, 'label': '2.31.g_cq', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [], 'number_fields': ['4.0.1790784.1'], 'p': 31, 'p_rank': 2, 'p_rank_deficit': 0, 'pic_prime_gens': [[1, 2, 1, 2], [1, 11, 1, 14]], 'poly': [1, 6, 68, 186, 961], 'poly_str': '1 6 68 186 961 ', 'primitive_models': [], 'principal_polarization_count': 14, 'q': 31, 'real_poly': [1, 6, 6], 'simple_distinct': ['2.31.g_cq'], 'simple_factors': ['2.31.g_cqA'], 'simple_multiplicities': [1], 'singular_primes': [], 'size': 14, 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.1790784.1', 'splitting_polynomials': [[829, -46, 56, -2, 1]], 'twist_count': 2, 'twists': [['2.31.ag_cq', '2.961.dw_gjy', 2]], 'weak_equivalence_count': 1, 'zfv_index': 1, 'zfv_index_factorization': [], 'zfv_is_bass': True, 'zfv_is_maximal': True, 'zfv_pic_size': 14, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 12436, 'zfv_singular_count': 0, 'zfv_singular_primes': []}
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av_fq_endalg_factors • Show schema
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{'base_label': '2.31.g_cq', 'extension_degree': 1, 'extension_label': '2.31.g_cq', 'multiplicity': 1}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '4.0.1790784.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.31.g_cq', 'galois_group': '4T3', 'places': [['66/31', '56/31', '0', '1/31'], ['29', '1', '0', '0']]}
