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av_fq_isog • Show schema
{'abvar_count': 784, 'abvar_counts': [784, 614656, 239754256, 203928109056, 95470643144464, 57482103270113536, 37251020427836851216, 23077516304197877760000, 14551944166392407808553744, 9114643702417590961573847296], 'abvar_counts_str': '784 614656 239754256 203928109056 95470643144464 57482103270113536 37251020427836851216 23077516304197877760000 14551944166392407808553744 9114643702417590961573847296 ', 'angle_corank': 3, 'angle_rank': 1, 'angles': [0.282047108424487, 0.282047108424487, 0.717952891575513, 0.717952891575513], 'center_dim': 4, 'curve_count': 6, 'curve_counts': [6, 34, 126, 810, 3126, 15058, 78126, 387162, 1953126, 9786754], 'curve_counts_str': '6 34 126 810 3126 15058 78126 387162 1953126 9786754 ', 'curves': ['y^2=x^10+3*x^9+3*x^8+3*x^6+x^5+4*x^3+x+1', 'y^2=x^10+4*x^9+2*x^8+x^7+4*x^6+4*x^5+3*x^4+4*x^3+x^2+4*x+2', 'y^2=x^10+2*x^8+x^7+2*x^6+2*x^4+4*x^2+2*x+4', 'y^2=x^9+2*x^8+4*x^7+3*x^6+3*x^4+x^3+2*x^2+3'], 'dim1_distinct': 0, 'dim1_factors': 0, 'dim2_distinct': 1, 'dim2_factors': 2, 'dim3_distinct': 0, 'dim3_factors': 0, 'dim4_distinct': 0, 'dim4_factors': 0, 'dim5_distinct': 0, 'dim5_factors': 0, 'g': 4, 'galois_groups': ['4T2'], 'geom_dim1_distinct': 1, 'geom_dim1_factors': 4, '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]], 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 4, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': False, 'is_squarefree': False, 'is_supersingular': False, 'label': '4.5.a_e_a_cc', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 24, 'newton_coelevation': 6, 'newton_elevation': 0, 'number_fields': ['4.0.576.2'], 'p': 5, 'p_rank': 4, 'p_rank_deficit': 0, 'poly': [1, 0, 4, 0, 54, 0, 100, 0, 625], 'poly_str': '1 0 4 0 54 0 100 0 625 ', 'primitive_models': [], 'q': 5, 'real_poly': [1, 0, -16, 0, 64], 'simple_distinct': ['2.5.a_c'], 'simple_factors': ['2.5.a_cA', '2.5.a_cB'], 'simple_multiplicities': [2], 'slopes': ['0A', '0B', '0C', '0D', '1A', '1B', '1C', '1D'], 'splitting_field': '4.0.576.2', 'splitting_polynomials': [[4, 0, 2, 0, 1]], 'twist_count': 24, 'twists': [['4.5.am_cs_ake_bax', '4.125.a_aky_a_cybm', 3], ['4.5.ag_t_abq_dg', '4.125.a_aky_a_cybm', 3], ['4.5.a_ac_a_av', '4.125.a_aky_a_cybm', 3], ['4.5.g_t_bq_dg', '4.125.a_aky_a_cybm', 3], ['4.5.m_cs_ke_bax', '4.125.a_aky_a_cybm', 3], ['4.5.a_ae_a_cc', '4.625.hc_wmm_bpuia_bxraws', 4], ['4.5.a_a_a_bu', '4.625.hc_wmm_bpuia_bxraws', 4], ['4.5.ai_bg_aea_ko', '4.390625.afdg_ngxuy_avohzukm_xxsfnighi', 8], ['4.5.ae_g_am_bi', '4.390625.afdg_ngxuy_avohzukm_xxsfnighi', 8], ['4.5.ae_k_abc_co', '4.390625.afdg_ngxuy_avohzukm_xxsfnighi', 8], ['4.5.a_a_a_abu', '4.390625.afdg_ngxuy_avohzukm_xxsfnighi', 8], ['4.5.e_g_m_bi', '4.390625.afdg_ngxuy_avohzukm_xxsfnighi', 8], ['4.5.e_k_bc_co', '4.390625.afdg_ngxuy_avohzukm_xxsfnighi', 8], ['4.5.i_bg_ea_ko', '4.390625.afdg_ngxuy_avohzukm_xxsfnighi', 8], ['4.5.ag_p_as_q', '4.244140625.cnpo_fogradg_gzqgzscaom_hrqyguuiphjra', 12], ['4.5.a_c_a_av', '4.244140625.cnpo_fogradg_gzqgzscaom_hrqyguuiphjra', 12], ['4.5.g_p_s_q', '4.244140625.cnpo_fogradg_gzqgzscaom_hrqyguuiphjra', 12], ['4.5.ak_bx_agk_qk', '4.59604644775390625.etagsuy_kxffhezdphwim_pmpezrdthdytnivhfoa_oujrkltoehdwxjeddoretvjms', 24], ['4.5.ae_i_i_abp', '4.59604644775390625.etagsuy_kxffhezdphwim_pmpezrdthdytnivhfoa_oujrkltoehdwxjeddoretvjms', 24], ['4.5.ac_b_k_acc', '4.59604644775390625.etagsuy_kxffhezdphwim_pmpezrdthdytnivhfoa_oujrkltoehdwxjeddoretvjms', 24], ['4.5.c_b_ak_acc', '4.59604644775390625.etagsuy_kxffhezdphwim_pmpezrdthdytnivhfoa_oujrkltoehdwxjeddoretvjms', 24], ['4.5.e_i_ai_abp', '4.59604644775390625.etagsuy_kxffhezdphwim_pmpezrdthdytnivhfoa_oujrkltoehdwxjeddoretvjms', 24], ['4.5.k_bx_gk_qk', '4.59604644775390625.etagsuy_kxffhezdphwim_pmpezrdthdytnivhfoa_oujrkltoehdwxjeddoretvjms', 24]]} - av_fq_endalg_factors • Show schema
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av_fq_endalg_data • Show schema
{'brauer_invariants': ['0', '0'], 'center': '4.0.576.2', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.5.a_c', 'galois_group': '4T2', 'places': [['3', '2', '1', '0'], ['2', '2', '4', '0']]} -
av_fq_endalg_data • Show schema
{'brauer_invariants': ['0', '0'], 'center': '2.0.24.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.25.c', 'galois_group': '2T1', 'places': [['3', '1'], ['2', '1']]}
Abelian variety isogeny class data - 4.5.a_e_a_cc