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av_fq_isog • Show schema
{'abvar_count': 3148, 'abvar_counts': [3148, 11798704, 41869344400, 146850870322624, 511078667831860228, 1779183343382542240000, 6193391959228264507900468, 21559174266556750249320171264, 75047497061478697136833002163600, 261240336224433817419226029817831984], 'abvar_counts_str': '3148 11798704 41869344400 146850870322624 511078667831860228 1779183343382542240000 6193391959228264507900468 21559174266556750249320171264 75047497061478697136833002163600 261240336224433817419226029817831984 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.0611433876487223, 0.727810054315389], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 55, 'curve_counts': [55, 3389, 203860, 12119049, 714871025, 42180199958, 2488653793835, 146830416215569, 8662995877231180, 511116754709018429], 'curve_counts_str': '55 3389 203860 12119049 714871025 42180199958 2488653793835 146830416215569 8662995877231180 511116754709018429 ', 'curves': ['y^2=32*x^5+58*x^4+53*x^3+51*x+54', 'y^2=58*x^6+47*x^5+25*x^4+43*x^3+48*x^2+13*x+31', 'y^2=30*x^6+38*x^5+34*x^4+50*x^3+46*x^2+30*x+44', 'y^2=17*x^5+45*x^4+20*x^3+50*x^2+38*x+38', 'y^2=44*x^6+57*x^5+56*x^4+34*x^3+50*x^2+39*x+17', 'y^2=3*x^6+21*x^5+27*x^4+50*x^3+21*x^2+8*x', 'y^2=48*x^6+39*x^5+24*x^4+12*x^3+41*x^2+19*x+47', 'y^2=12*x^6+26*x^5+49*x^4+3*x^3+6*x^2+11*x+13', 'y^2=44*x^6+37*x^5+32*x^4+16*x^3+26*x^2+52*x+25', 'y^2=42*x^6+11*x^5+8*x^4+17*x^3+17*x^2+35*x+20', 'y^2=13*x^6+20*x^5+28*x^4+44*x^3+18*x+30', 'y^2=38*x^6+19*x^5+14*x^4+58*x^3+3*x^2+13*x+15', 'y^2=32*x^6+27*x^5+2*x^4+36*x^3+26*x^2+23*x+2', 'y^2=47*x^6+46*x^5+23*x^4+54*x^3+3*x^2+6*x+4', 'y^2=23*x^6+56*x^5+26*x^4+3*x^3+4*x^2+18*x+18', 'y^2=14*x^6+15*x^5+28*x^4+53*x^3+28*x^2+46*x+52', 'y^2=22*x^6+45*x^5+55*x^4+3*x^3+40*x^2+49*x+45', 'y^2=x^6+52*x^5+15*x^4+4*x^3+24*x^2+26*x+58', 'y^2=27*x^6+56*x^5+40*x^4+6*x^3+12*x^2+37*x+48', 'y^2=55*x^6+31*x^5+30*x^4+41*x^3+17*x^2+33*x+29', 'y^2=36*x^6+35*x^5+6*x^4+39*x^3+35*x^2+33*x+55'], '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': ['2.0.211.1'], 'geometric_splitting_field': '2.0.211.1', 'geometric_splitting_polynomials': [[53, -1, 1]], 'group_structure_count': 2, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 21, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 21, 'label': '2.59.af_abi', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 12, 'newton_coelevation': 2, 'newton_elevation': 0, 'number_fields': ['4.0.400689.1'], 'p': 59, 'p_rank': 2, 'p_rank_deficit': 0, 'pic_prime_gens': [[1, 13, 1, 9], [1, 13, 2, 9]], 'poly': [1, -5, -34, -295, 3481], 'poly_str': '1 -5 -34 -295 3481 ', 'primitive_models': [], 'principal_polarization_count': 21, 'q': 59, 'real_poly': [1, -5, -152], 'simple_distinct': ['2.59.af_abi'], 'simple_factors': ['2.59.af_abiA'], 'simple_multiplicities': [1], 'singular_primes': ['2,-2*F^2-F-3', '17,-F^2-12*F+7*V-35'], 'size': 42, 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.400689.1', 'splitting_polynomials': [[2809, -53, -52, -1, 1]], 'twist_count': 6, 'twists': [['2.59.f_abi', '2.3481.adp_hqu', 2], ['2.59.k_fn', '2.205379.acgm_cegbu', 3], ['2.59.ak_fn', '2.42180533641.aszqa_nzfdgpfy', 6], ['2.59.a_dp', '2.42180533641.aszqa_nzfdgpfy', 6], ['2.59.f_abi', '2.42180533641.aszqa_nzfdgpfy', 6], ['2.59.a_adp', '2.1779197418239532716881.obywjilw_earxkgpungefmeqg', 12]], 'weak_equivalence_count': 4, 'zfv_index': 34, 'zfv_index_factorization': [[2, 1], [17, 1]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_pic_size': 27, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 1156, 'zfv_singular_count': 4, 'zfv_singular_primes': ['2,-2*F^2-F-3', '17,-F^2-12*F+7*V-35']} - av_fq_endalg_factors • Show schema
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av_fq_endalg_data • Show schema
{'brauer_invariants': ['0', '0'], 'center': '4.0.400689.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.59.af_abi', 'galois_group': '4T2', 'places': [['10', '4', '38', '3'], ['36', '14', '7', '58']]} -
av_fq_endalg_data • Show schema
{'brauer_invariants': ['0', '0'], 'center': '2.0.211.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.205379.abdg', 'galois_group': '2T1', 'places': [['56', '1'], ['2', '1']]}
Abelian variety isogeny class data - 2.59.af_abi