-
av_fq_isog • Show schema
Hide schema
{'abvar_count': 379, 'abvar_counts': [379, 143641, 47032384, 17096870025, 6131069886979, 2212045144723456, 799006685970523339, 288443898404114078025, 104127350297357035776064, 37590017959020687833746441], 'abvar_counts_str': '379 143641 47032384 17096870025 6131069886979 2212045144723456 799006685970523339 288443898404114078025 104127350297357035776064 37590017959020687833746441 ', 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.323819359774964, 0.676180640225036], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 20, 'curve_counts': [20, 396, 6860, 131188, 2476100, 47018886, 893871740, 16983709348, 322687697780, 6131073516156], 'curve_counts_str': '20 396 6860 131188 2476100 47018886 893871740 16983709348 322687697780 6131073516156 ', 'curves': ['y^2=17*x^6+13*x^5+12*x^4+9*x^3+12*x^2+9*x+16', 'y^2=15*x^6+7*x^5+5*x^4+18*x^3+5*x^2+18*x+13', 'y^2=9*x^6+5*x^5+11*x^4+16*x^3+5*x+18', 'y^2=18*x^6+10*x^5+3*x^4+13*x^3+10*x+17', 'y^2=10*x^6+9*x^5+11*x^3+8*x^2+12*x+4', 'y^2=x^6+18*x^5+3*x^3+16*x^2+5*x+8', 'y^2=16*x^6+6*x^5+13*x^4+18*x^3+2*x^2+14*x+14', 'y^2=13*x^6+12*x^5+7*x^4+17*x^3+4*x^2+9*x+9', 'y^2=7*x^6+13*x^5+2*x^3+10*x^2+13*x+13', 'y^2=14*x^6+7*x^5+4*x^3+x^2+7*x+7', 'y^2=2*x^6+8*x^5+13*x^4+5*x^3+4*x^2+12*x+17', 'y^2=7*x^6+6*x^5+12*x^4+5*x^3+5*x+18', 'y^2=14*x^6+12*x^5+5*x^4+10*x^3+10*x+17', 'y^2=6*x^6+16*x^5+5*x^4+5*x^3+10*x^2+11*x+3', 'y^2=12*x^6+13*x^5+10*x^4+10*x^3+x^2+3*x+6', 'y^2=11*x^6+9*x^5+12*x^4+2*x^3+14*x^2+11*x+8', 'y^2=3*x^6+18*x^5+5*x^4+4*x^3+9*x^2+3*x+16', 'y^2=17*x^6+14*x^5+11*x^4+9*x^3+9*x^2+2*x+6', 'y^2=15*x^6+9*x^5+3*x^4+18*x^3+18*x^2+4*x+12', 'y^2=15*x^6+16*x^5+3*x^4+2*x^3+2*x^2+16*x+6', 'y^2=11*x^6+13*x^5+6*x^4+4*x^3+4*x^2+13*x+12', 'y^2=11*x^6+x^5+11*x^4+8*x^3+12*x^2+7*x+8', 'y^2=17*x^6+5*x^5+10*x^4+11*x^3+9*x^2+5*x+2', 'y^2=6*x^6+9*x^5+16*x^4+3*x^3+2*x^2+12*x+15', 'y^2=12*x^6+18*x^5+13*x^4+6*x^3+4*x^2+5*x+11', 'y^2=x^6+10*x^5+6*x^4+15*x^2+15*x+18', 'y^2=9*x^6+12*x^5+13*x^4+5*x^3+10*x^2+2*x+5', 'y^2=18*x^6+5*x^5+7*x^4+10*x^3+x^2+4*x+10'], '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': 2, 'geometric_extension_degree': 2, 'geometric_galois_groups': ['2T1'], 'geometric_number_fields': ['2.0.1155.1'], 'geometric_splitting_field': '2.0.1155.1', 'geometric_splitting_polynomials': [[289, -1, 1]], 'group_structure_count': 1, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 28, 'is_cyclic': True, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 28, 'label': '2.19.a_r', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 4, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [], 'number_fields': ['4.0.1334025.2'], 'p': 19, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, 0, 17, 0, 361], 'poly_str': '1 0 17 0 361 ', 'primitive_models': [], 'q': 19, 'real_poly': [1, 0, -21], 'simple_distinct': ['2.19.a_r'], 'simple_factors': ['2.19.a_rA'], 'simple_multiplicities': [1], 'singular_primes': ['2,-3*F^2-V'], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.1334025.2', 'splitting_polynomials': [[361, 0, 17, 0, 1]], 'twist_count': 2, 'twists': [['2.19.a_ar', '2.130321.bhi_zmxv', 4]], 'weak_equivalence_count': 2, 'zfv_index': 4, 'zfv_index_factorization': [[2, 2]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_plus_index': 2, 'zfv_plus_index_factorization': [[2, 1]], 'zfv_plus_norm': 3025, 'zfv_singular_count': 2, 'zfv_singular_primes': ['2,-3*F^2-V']}
-
av_fq_endalg_factors • Show schema
Hide schema
-
id: 11858
{'base_label': '2.19.a_r', 'extension_degree': 1, 'extension_label': '2.19.a_r', 'multiplicity': 1}
-
id: 11859
{'base_label': '2.19.a_r', 'extension_degree': 2, 'extension_label': '1.361.r', 'multiplicity': 2}
-
av_fq_endalg_data • Show schema
Hide schema
{'brauer_invariants': ['0', '0'], 'center': '4.0.1334025.2', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.19.a_r', 'galois_group': '4T2', 'places': [['0', '17/19', '0', '1/19'], ['0', '1', '0', '0']]}
-
av_fq_endalg_data • Show schema
Hide schema
{'brauer_invariants': ['0', '0'], 'center': '2.0.1155.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.361.r', 'galois_group': '2T1', 'places': [['8', '1'], ['10', '1']]}
