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av_fq_isog • Show schema
{'abvar_count': 1254, 'abvar_counts': [1254, 3448500, 6372933336, 11700760500000, 21612454380561594, 39959623959787224000, 73885483879109848087626, 136614097311045372018000000, 252599343795235828773340419384, 467056162528889009681643228712500], 'abvar_counts_str': '1254 3448500 6372933336 11700760500000 21612454380561594 39959623959787224000 73885483879109848087626 136614097311045372018000000 252599343795235828773340419384 467056162528889009681643228712500 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.183291501244178, 0.348746511119089], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 27, 'curve_counts': [27, 1865, 80154, 3422473, 147015057, 6321361970, 271819076619, 11688206401873, 502592632274862, 21611482070426825], 'curve_counts_str': '27 1865 80154 3422473 147015057 6321361970 271819076619 11688206401873 502592632274862 21611482070426825 ', 'curves': ['y^2=30*x^6+8*x^5+38*x^4+30*x^3+17*x^2+18*x+22', 'y^2=18*x^6+36*x^4+3*x^3+7*x^2+29*x+32', 'y^2=2*x^6+19*x^5+42*x^4+36*x^3+27*x^2+x+12', 'y^2=19*x^6+10*x^5+20*x^4+36*x^3+2*x^2+16*x+26', 'y^2=29*x^6+27*x^5+3*x^4+39*x^3+33*x^2+24*x+17', 'y^2=32*x^6+18*x^5+10*x^4+20*x^3+x^2+15*x+17', 'y^2=28*x^6+30*x^5+37*x^4+32*x^3+13*x^2+14*x+8', 'y^2=39*x^6+16*x^5+14*x^4+5*x^3+2*x^2+2*x+8', 'y^2=29*x^6+x^5+42*x^4+21*x^3+20*x^2+7*x', 'y^2=28*x^6+27*x^5+14*x^4+4*x^3+36*x^2+21*x+29', 'y^2=42*x^6+32*x^5+34*x^4+38*x^3+31*x^2+34*x+6', 'y^2=42*x^6+15*x^5+x^4+13*x^3+11*x^2+24*x+19', 'y^2=8*x^6+26*x^5+17*x^4+25*x^3+3*x^2+36*x+14', 'y^2=10*x^6+11*x^5+40*x^4+22*x^3+9*x^2+24*x+12', 'y^2=8*x^6+24*x^5+10*x^4+19*x^3+29*x^2+40*x+7', 'y^2=22*x^6+16*x^5+25*x^4+17*x^3+26*x^2+40*x+34'], 'dim1_distinct': 2, 'dim1_factors': 2, 'dim2_distinct': 0, 'dim2_factors': 0, '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': ['2T1', '2T1'], 'geom_dim1_distinct': 2, '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': 4, 'geometric_extension_degree': 1, 'geometric_galois_groups': ['2T1', '2T1'], 'geometric_number_fields': ['2.0.51.1', '2.0.136.1'], 'geometric_splitting_field': '4.0.166464.2', 'geometric_splitting_polynomials': [[100, 0, 14, 0, 1]], 'group_structure_count': 1, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 16, 'is_cyclic': True, 'is_geometrically_simple': False, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': False, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 16, 'label': '2.43.ar_fw', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [], 'number_fields': ['2.0.51.1', '2.0.136.1'], 'p': 43, 'p_rank': 2, 'p_rank_deficit': 0, 'pic_prime_gens': [[2, 2, 1, 4], [1, 3, 1, 4], [2, 7, 1, 8]], 'poly': [1, -17, 152, -731, 1849], 'poly_str': '1 -17 152 -731 1849 ', 'primitive_models': [], 'principal_polarization_count': 24, 'q': 43, 'real_poly': [1, -17, 66], 'simple_distinct': ['1.43.al', '1.43.ag'], 'simple_factors': ['1.43.alA', '1.43.agA'], 'simple_multiplicities': [1, 1], 'singular_primes': ['5,11*F-14', '5,3*V-22'], 'size': 104, 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.166464.2', 'splitting_polynomials': [[100, 0, 14, 0, 1]], 'twist_count': 4, 'twists': [['2.43.af_u', '2.1849.p_cwy', 2], ['2.43.f_u', '2.1849.p_cwy', 2], ['2.43.r_fw', '2.1849.p_cwy', 2]], 'weak_equivalence_count': 4, 'zfv_index': 25, 'zfv_index_factorization': [[5, 2]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_pic_size': 64, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 6936, 'zfv_singular_count': 4, 'zfv_singular_primes': ['5,11*F-14', '5,3*V-22']} - av_fq_endalg_factors • Show schema
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av_fq_endalg_data • Show schema
{'brauer_invariants': ['0', '0'], 'center': '2.0.51.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.43.al', 'galois_group': '2T1', 'places': [['37', '1'], ['5', '1']]} -
av_fq_endalg_data • Show schema
{'brauer_invariants': ['0', '0'], 'center': '2.0.136.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.43.ag', 'galois_group': '2T1', 'places': [['40', '1'], ['3', '1']]}
Abelian variety isogeny class data - 2.43.ar_fw