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av_fq_isog • Show schema
{'abvar_count': 792, 'abvar_counts': [792, 627264, 594824472, 499091383296, 420707269604952, 353816152490078784, 297558232704683375832, 250247219487274690560000, 210457284365170069710722712, 176994606698453768958142922304], 'abvar_counts_str': '792 627264 594824472 499091383296 420707269604952 353816152490078784 297558232704683375832 250247219487274690560000 210457284365170069710722712 176994606698453768958142922304 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.0845842056148768, 0.915415794385123], 'center_dim': 4, 'cohen_macaulay_max': 2, 'curve_count': 30, 'curve_counts': [30, 742, 24390, 705646, 20511150, 594825622, 17249876310, 500247903838, 14507145975870, 420707305909702], 'curve_counts_str': '30 742 24390 705646 20511150 594825622 17249876310 500247903838 14507145975870 420707305909702 ', 'curves': ['y^2=8*x^6+x^5+15*x^4+19*x^3+15*x^2+12*x+15', 'y^2=24*x^6+8*x^5+18*x^4+23*x^3+19*x^2+11*x+20', 'y^2=15*x^6+27*x^5+22*x^4+15*x^3+24*x^2+2*x+20', 'y^2=25*x^6+9*x^5+27*x^4+16*x^3+18*x^2+26*x+18', 'y^2=3*x^6+12*x^5+28*x^4+21*x^3+19*x^2+2*x+7', 'y^2=28*x^6+10*x^4+17*x^3+13*x^2+26*x+6', 'y^2=24*x^6+24*x^5+2*x^4+11*x^3+12*x^2+7*x+1', 'y^2=21*x^6+2*x^5+2*x^4+21*x^3+15*x^2+9*x+7', 'y^2=8*x^6+20*x^5+15*x^4+14*x^3+x^2+22*x+6', 'y^2=x^6+7*x^5+12*x^4+21*x^3+27*x^2+9*x+17', 'y^2=21*x^6+15*x^5+5*x^4+10*x^3+10*x^2+28*x+2', 'y^2=5*x^6+11*x^5+7*x^4+15*x^3+24*x^2+12*x+3', 'y^2=12*x^5+4*x^4+12*x^3+21*x^2+19*x', 'y^2=28*x^6+14*x^5+11*x^4+8*x^3+20*x^2+18*x+18', 'y^2=6*x^6+4*x^5+7*x^4+20*x^3+26*x^2+25*x+15', 'y^2=x^6+x^3+15'], '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': 16, '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': ['2.0.24.1'], 'geometric_splitting_field': '2.0.24.1', 'geometric_splitting_polynomials': [[6, 0, 1]], 'group_structure_count': 6, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 16, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 16, 'label': '2.29.a_aby', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 12, 'newton_coelevation': 2, 'newton_elevation': 0, 'number_fields': ['4.0.2304.1'], 'p': 29, 'p_rank': 2, 'p_rank_deficit': 0, 'pic_prime_gens': [[1, 11, 1, 12]], 'poly': [1, 0, -50, 0, 841], 'poly_str': '1 0 -50 0 841 ', 'primitive_models': [], 'principal_polarization_count': 28, 'q': 29, 'real_poly': [1, 0, -108], 'simple_distinct': ['2.29.a_aby'], 'simple_factors': ['2.29.a_abyA'], 'simple_multiplicities': [1], 'singular_primes': ['2,F^2+F+2', '3,3*F-2*V-5', '3,3*F-2*V-4'], 'size': 72, 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.2304.1', 'splitting_polynomials': [[1, 0, 4, 0, 1]], 'twist_count': 6, 'twists': [['2.29.a_by', '2.707281.acky_eooju', 4], ['2.29.ae_i', '2.500246412961.dgvlk_hltnqfyre', 8], ['2.29.e_i', '2.500246412961.dgvlk_hltnqfyre', 8], ['2.29.as_fh', '2.353814783205469041.hsavfxk_wfnwcdcptreio', 12], ['2.29.s_fh', '2.353814783205469041.hsavfxk_wfnwcdcptreio', 12]], 'weak_equivalence_count': 20, 'zfv_index': 72, 'zfv_index_factorization': [[2, 3], [3, 2]], 'zfv_is_bass': False, 'zfv_is_maximal': False, 'zfv_pic_size': 12, 'zfv_plus_index': 6, 'zfv_plus_index_factorization': [[2, 1], [3, 1]], 'zfv_plus_norm': 64, 'zfv_singular_count': 6, 'zfv_singular_primes': ['2,F^2+F+2', '3,3*F-2*V-5', '3,3*F-2*V-4']} - av_fq_endalg_factors • Show schema
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av_fq_endalg_data • Show schema
{'brauer_invariants': ['0', '0'], 'center': '4.0.2304.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.29.a_aby', 'galois_group': '4T2', 'places': [['20', '5', '0', '1'], ['9', '5', '0', '1']]} -
av_fq_endalg_data • Show schema
{'brauer_invariants': ['0', '0'], 'center': '2.0.24.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.841.aby', 'galois_group': '2T1', 'places': [['20', '1'], ['9', '1']]}
Abelian variety isogeny class data - 2.29.a_aby