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av_fq_isog • Show schema
{'abvar_count': 2491, 'abvar_counts': [2491, 8357305, 22302939328, 62235722098825, 174871576761440371, 491258408714084577280, 1379946521895415153635787, 3876268845540259459715438025, 10888439913584392452434922081472, 30585627447533122398516191727654025], 'abvar_counts_str': '2491 8357305 22302939328 62235722098825 174871576761440371 491258408714084577280 1379946521895415153635787 3876268845540259459715438025 10888439913584392452434922081472 30585627447533122398516191727654025 ', 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.340360113580311, 0.478121163875028], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 46, 'curve_counts': [46, 2972, 149806, 7887444, 418157486, 22164338774, 1174711361030, 62259687125476, 3299763637805878, 174887471261431532], 'curve_counts_str': '46 2972 149806 7887444 418157486 22164338774 1174711361030 62259687125476 3299763637805878 174887471261431532 ', 'curves': ['y^2=27*x^6+30*x^5+10*x^4+9*x^3+10*x+6', 'y^2=10*x^6+35*x^5+35*x^4+42*x^3+35*x^2+35*x+10', 'y^2=6*x^6+52*x^5+7*x^4+5*x^3+7*x^2+52*x+6', 'y^2=45*x^6+34*x^5+48*x^4+24*x^3+7*x^2+14*x+1', 'y^2=5*x^6+3*x^5+5*x^4+2*x^3+14*x^2+27*x+5', 'y^2=x^6+12*x^5+26*x^4+19*x^3+19*x^2+36*x+34', 'y^2=23*x^6+46*x^5+50*x^4+7*x^3+37*x^2+3*x+41', 'y^2=23*x^6+18*x^5+39*x^4+20*x^3+39*x^2+18*x+23', 'y^2=28*x^6+38*x^5+9*x^4+15*x^3+41*x^2+x+50', 'y^2=42*x^6+13*x^5+15*x^4+15*x^3+50*x^2+20*x+46', 'y^2=14*x^6+8*x^5+x^4+16*x^3+3*x^2+23*x+7', 'y^2=25*x^6+41*x^5+25*x^4+15*x^3+25*x^2+41*x+25', 'y^2=47*x^6+44*x^5+27*x^4+17*x^3+42*x^2+11*x+39', 'y^2=49*x^6+45*x^5+15*x^4+44*x^3+15*x^2+45*x+49', 'y^2=37*x^6+22*x^5+10*x^4+39*x^3+12*x^2+39*x+45', 'y^2=5*x^6+45*x^5+5*x^4+23*x^3+5*x^2+45*x+5', 'y^2=12*x^6+28*x^5+25*x^4+48*x^3+28*x^2+3*x+51', 'y^2=20*x^6+34*x^5+12*x^4+20*x^3+26*x^2+27*x+21', 'y^2=51*x^6+43*x^5+30*x^4+40*x^3+22*x^2+37*x+3', 'y^2=42*x^6+47*x^5+42*x^4+52*x^3+10*x^2+20*x+39', 'y^2=23*x^6+47*x^5+11*x^4+10*x^3+51*x^2+35*x+26', 'y^2=8*x^6+3*x^5+43*x^4+9*x^3+43*x^2+3*x+8', 'y^2=12*x^6+14*x^5+15*x^4+37*x^3+45*x^2+33*x+45', 'y^2=12*x^6+40*x^5+5*x^4+16*x^3+25*x^2+40*x+7', 'y^2=20*x^6+41*x^5+21*x^4+8*x^3+21*x^2+41*x+20', 'y^2=8*x^6+7*x^5+48*x^4+46*x^3+27*x^2+4*x+45', 'y^2=2*x^6+15*x^5+46*x^4+38*x^3+46*x^2+15*x+2', 'y^2=22*x^6+21*x^5+33*x^4+3*x^3+38*x^2+12*x+7', 'y^2=6*x^6+30*x^5+23*x^4+38*x^3+51*x^2+22*x+8', 'y^2=3*x^6+38*x^5+40*x^4+46*x^3+5*x^2+8*x+38', 'y^2=35*x^6+27*x^5+36*x^4+27*x^3+9*x^2+8*x+16', 'y^2=18*x^6+42*x^4+7*x^3+30*x^2+52*x+36', 'y^2=45*x^6+28*x^5+15*x^4+32*x^3+39*x^2+13*x+35'], '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': ['2.0.163.1', '2.0.211.1'], 'geometric_splitting_field': '4.0.1182878449.1', 'geometric_splitting_polynomials': [[144, 0, 187, 0, 1]], 'group_structure_count': 1, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 33, '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': 33, 'label': '2.53.ai_ej', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [], 'number_fields': ['2.0.163.1', '2.0.211.1'], 'p': 53, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, -8, 113, -424, 2809], 'poly_str': '1 -8 113 -424 2809 ', 'primitive_models': [], 'q': 53, 'real_poly': [1, -8, 7], 'simple_distinct': ['1.53.ah', '1.53.ab'], 'simple_factors': ['1.53.ahA', '1.53.abA'], 'simple_multiplicities': [1, 1], 'singular_primes': ['2,F^2+7*V+28', '3,-F^2+4*F-53'], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.1182878449.1', 'splitting_polynomials': [[144, 0, 187, 0, 1]], 'twist_count': 4, 'twists': [['2.53.ag_dv', '2.2809.gg_reh', 2], ['2.53.g_dv', '2.2809.gg_reh', 2], ['2.53.i_ej', '2.2809.gg_reh', 2]], 'weak_equivalence_count': 4, 'zfv_index': 36, 'zfv_index_factorization': [[2, 2], [3, 2]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 34393, 'zfv_singular_count': 4, 'zfv_singular_primes': ['2,F^2+7*V+28', '3,-F^2+4*F-53']} - av_fq_endalg_factors • Show schema
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av_fq_endalg_data • Show schema
{'brauer_invariants': ['0', '0'], 'center': '2.0.163.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.53.ah', 'galois_group': '2T1', 'places': [['49', '1'], ['3', '1']]} -
av_fq_endalg_data • Show schema
{'brauer_invariants': ['0', '0'], 'center': '2.0.211.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.53.ab', 'galois_group': '2T1', 'places': [['52', '1'], ['0', '1']]}
Abelian variety isogeny class data - 2.53.ai_ej