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av_fq_isog • Show schema
{'abvar_count': 8409, 'abvar_counts': [8409, 61629561, 498938798736, 3936859933609449, 31182553568567486649, 246989895593988090249216, 1956410534591570478760419369, 15496731004732371703703281659849, 122749609430518329494045827056990096, 972299658137534612736450548294798444601], 'abvar_counts_str': '8409 61629561 498938798736 3936859933609449 31182553568567486649 246989895593988090249216 1956410534591570478760419369 15496731004732371703703281659849 122749609430518329494045827056990096 972299658137534612736450548294798444601 ', 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.26967765535554, 0.936344322022207], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 96, 'curve_counts': [96, 7780, 707742, 62746564, 5584208736, 496980268846, 44231324675424, 3936588698897284, 350356403169963918, 31181719941084374500], 'curve_counts_str': '96 7780 707742 62746564 5584208736 496980268846 44231324675424 3936588698897284 350356403169963918 31181719941084374500 ', 'curves': ['y^2=35*x^6+27*x^5+36*x^4+20*x^3+70*x^2+5*x+35', 'y^2=6*x^6+71*x^5+47*x^4+66*x^3+49*x^2+54*x+6', 'y^2=67*x^6+36*x^5+68*x^4+3*x^3+3*x^2+10*x+67', 'y^2=9*x^6+88*x^5+27*x^4+60*x^3+78*x^2+55*x+9', 'y^2=69*x^6+50*x^5+73*x^4+52*x^3+57*x^2+8*x+69', 'y^2=53*x^6+46*x^5+36*x^4+16*x^3+67*x^2+5*x+53', 'y^2=60*x^6+65*x^5+23*x^4+54*x^3+64*x^2+28*x+60', 'y^2=60*x^6+48*x^5+25*x^4+54*x^3+62*x^2+45*x+60', 'y^2=46*x^6+14*x^5+61*x^4+67*x^3+58*x^2+84*x+46', 'y^2=7*x^6+38*x^5+83*x^4+46*x^3+87*x^2+4*x+7', 'y^2=59*x^6+52*x^5+77*x^4+39*x^3+79*x^2+35*x+59', 'y^2=24*x^6+81*x^5+7*x^4+27*x^3+51*x^2+63*x+24', 'y^2=58*x^6+81*x^5+31*x^4+59*x^3+51*x^2+58', 'y^2=24*x^6+68*x^5+81*x^4+62*x^3+12*x^2+76*x+24'], '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': 6, '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': ['2.0.20.1'], 'geometric_splitting_field': '2.0.20.1', 'geometric_splitting_polynomials': [[5, 0, 1]], 'group_structure_count': 1, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 14, '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': 14, 'label': '2.89.g_acb', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 12, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [], 'number_fields': ['4.0.3600.3'], 'p': 89, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, 6, -53, 534, 7921], 'poly_str': '1 6 -53 534 7921 ', 'primitive_models': [], 'q': 89, 'real_poly': [1, 6, -231], 'simple_distinct': ['2.89.g_acb'], 'simple_factors': ['2.89.g_acbA'], 'simple_multiplicities': [1], 'singular_primes': ['2,-F^2+7*F-14*V-83', '53,111*F-205*V-1253'], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.3600.3', 'splitting_polynomials': [[25, 0, -5, 0, 1]], 'twist_count': 6, 'twists': [['2.89.ag_acb', '2.7921.afm_scx', 2], ['2.89.am_ig', '2.704969.ecq_hhnkw', 3], ['2.89.ag_acb', '2.496981290961.acgeae_gahbnntac', 6], ['2.89.a_fm', '2.496981290961.acgeae_gahbnntac', 6], ['2.89.m_ig', '2.496981290961.acgeae_gahbnntac', 6], ['2.89.a_afm', '2.246990403565262140303521.hamftefzo_xqrguckqrwrzwkubm', 12]], 'weak_equivalence_count': 6, 'zfv_index': 848, 'zfv_index_factorization': [[2, 4], [53, 1]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_plus_index': 4, 'zfv_plus_index_factorization': [[2, 2]], 'zfv_plus_norm': 2809, 'zfv_singular_count': 4, 'zfv_singular_primes': ['2,-F^2+7*F-14*V-83', '53,111*F-205*V-1253']} - av_fq_endalg_factors • Show schema
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av_fq_endalg_data • Show schema
{'brauer_invariants': ['0', '0'], 'center': '4.0.3600.3', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.89.g_acb', 'galois_group': '4T2', 'places': [['26', '5', '66', '0'], ['63', '5', '23', '0']]} -
av_fq_endalg_data • Show schema
{'brauer_invariants': ['0', '0'], 'center': '2.0.20.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.704969.cbi', 'galois_group': '2T1', 'places': [['23', '1'], ['66', '1']]}
Abelian variety isogeny class data - 2.89.g_acb