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av_fq_isog • Show schema
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{'abvar_count': 320, 'abvar_counts': [320, 614400, 382940480, 267386880000, 202540103585600, 149908514931302400, 109388065103183839040, 79739985108381204480000, 58143338668609354957010240, 42389769541564608377871360000], 'abvar_counts_str': '320 614400 382940480 267386880000 202540103585600 149908514931302400 109388065103183839040 79739985108381204480000 58143338668609354957010240 42389769541564608377871360000 ', 'angle_rank': 1, 'angles': [0.0, 0.0, 0.391826552030607, 0.5], 'center_dim': 5, 'curve_count': 2, 'curve_counts': [2, 96, 722, 6204, 58082, 530784, 4781618, 43032444, 387377858, 3486670176], 'curve_counts_str': '2 96 722 6204 58082 530784 4781618 43032444 387377858 3486670176 ', 'curves': [], 'dim1_distinct': 3, 'dim1_factors': 3, 'dim2_distinct': 0, 'dim2_factors': 0, 'dim3_distinct': 0, 'dim3_factors': 0, 'dim4_distinct': 0, 'dim4_factors': 0, 'dim5_distinct': 0, 'dim5_factors': 0, 'g': 3, 'galois_groups': ['1T1', '2T1', '2T1'], 'geom_dim1_distinct': 2, 'geom_dim1_factors': 3, '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': 3, 'geometric_extension_degree': 4, 'geometric_galois_groups': ['1T1', '2T1'], 'geometric_number_fields': ['1.1.1.1', '2.0.8.1'], 'geometric_splitting_field': '2.0.8.1', 'geometric_splitting_polynomials': [[2, 0, 1]], 'has_geom_ss_factor': True, 'has_jacobian': 0, 'has_principal_polarization': 1, 'hyp_count': 0, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': False, 'is_squarefree': True, 'label': '3.9.ai_bn_afo', 'max_divalg_dim': 4, 'max_geom_divalg_dim': 4, 'max_twist_degree': 20, 'number_fields': ['1.1.1.1', '2.0.8.1', '2.0.4.1'], 'p': 3, 'p_rank': 1, 'p_rank_deficit': 2, 'poly': [1, -8, 39, -144, 351, -648, 729], 'poly_str': '1 -8 39 -144 351 -648 729 ', 'primitive_models': [], 'q': 9, 'real_poly': [1, -8, 12], 'simple_distinct': ['1.9.ag', '1.9.ac', '1.9.a'], 'simple_factors': ['1.9.agA', '1.9.acA', '1.9.aA'], 'simple_multiplicities': [1, 1, 1], 'slopes': ['0A', '1/2A', '1/2B', '1/2C', '1/2D', '1A'], 'splitting_field': '4.0.256.1', 'splitting_polynomials': [[1, 0, 0, 0, 1]], 'twist_count': 38, 'twists': [['3.9.ae_p_acu', '3.81.o_add_adjg', 2], ['3.9.e_p_cu', '3.81.o_add_adjg', 2], ['3.9.i_bn_fo', '3.81.o_add_adjg', 2], ['3.9.b_v_s', '3.729.ai_all_argq', 3], ['3.9.ao_dj_amm', '3.6561.anu_dggd_amgbey', 4], ['3.9.ak_bn_aee', '3.6561.anu_dggd_amgbey', 4], ['3.9.ac_aj_bk', '3.6561.anu_dggd_amgbey', 4], ['3.9.ac_bb_abk', '3.6561.anu_dggd_amgbey', 4], ['3.9.c_aj_abk', '3.6561.anu_dggd_amgbey', 4], ['3.9.c_bb_bk', '3.6561.anu_dggd_amgbey', 4], ['3.9.k_bn_ee', '3.6561.anu_dggd_amgbey', 4], ['3.9.o_dj_mm', '3.6561.anu_dggd_amgbey', 4], ['3.9.af_bh_adm', '3.531441.azi_abegeb_cgwlokq', 6], ['3.9.ab_v_as', '3.531441.azi_abegeb_cgwlokq', 6], ['3.9.f_bh_dm', '3.531441.azi_abegeb_cgwlokq', 6], ['3.9.ac_j_a', '3.43046721.avde_abbvbun_dzmnryexw', 8], ['3.9.c_j_a', '3.43046721.avde_abbvbun_dzmnryexw', 8], ['3.9.al_cl_aja', '3.282429536481.adhcuo_dbldgqezv_abkijiojlpmdeq', 12], ['3.9.ai_bw_agg', '3.282429536481.adhcuo_dbldgqezv_abkijiojlpmdeq', 12], ['3.9.ah_bb_adm', '3.282429536481.adhcuo_dbldgqezv_abkijiojlpmdeq', 12], ['3.9.af_p_acc', '3.282429536481.adhcuo_dbldgqezv_abkijiojlpmdeq', 12], ['3.9.ae_y_acc', '3.282429536481.adhcuo_dbldgqezv_abkijiojlpmdeq', 12], ['3.9.ac_a_s', '3.282429536481.adhcuo_dbldgqezv_abkijiojlpmdeq', 12], ['3.9.ac_s_as', '3.282429536481.adhcuo_dbldgqezv_abkijiojlpmdeq', 12], ['3.9.ab_d_acc', '3.282429536481.adhcuo_dbldgqezv_abkijiojlpmdeq', 12], ['3.9.b_d_cc', '3.282429536481.adhcuo_dbldgqezv_abkijiojlpmdeq', 12], ['3.9.c_a_as', '3.282429536481.adhcuo_dbldgqezv_abkijiojlpmdeq', 12], ['3.9.c_s_s', '3.282429536481.adhcuo_dbldgqezv_abkijiojlpmdeq', 12], ['3.9.e_y_cc', '3.282429536481.adhcuo_dbldgqezv_abkijiojlpmdeq', 12], ['3.9.f_p_cc', '3.282429536481.adhcuo_dbldgqezv_abkijiojlpmdeq', 12], ['3.9.h_bb_dm', '3.282429536481.adhcuo_dbldgqezv_abkijiojlpmdeq', 12], ['3.9.i_bw_gg', '3.282429536481.adhcuo_dbldgqezv_abkijiojlpmdeq', 12], ['3.9.l_cl_ja', '3.282429536481.adhcuo_dbldgqezv_abkijiojlpmdeq', 12], ['3.9.af_y_acu', '3.12157665459056928801.acmvcgore_cqlnulsnmfeujln_abngnvhjlyzqjctcwmatdoe', 20], ['3.9.ab_m_abk', '3.12157665459056928801.acmvcgore_cqlnulsnmfeujln_abngnvhjlyzqjctcwmatdoe', 20], ['3.9.b_m_bk', '3.12157665459056928801.acmvcgore_cqlnulsnmfeujln_abngnvhjlyzqjctcwmatdoe', 20], ['3.9.f_y_cu', '3.12157665459056928801.acmvcgore_cqlnulsnmfeujln_abngnvhjlyzqjctcwmatdoe', 20]]}
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av_fq_endalg_factors • Show schema
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id: 1418399
{'base_label': '3.9.ai_bn_afo', 'extension_degree': 1, 'extension_label': '1.9.ag', 'multiplicity': 1}
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id: 1418400
{'base_label': '3.9.ai_bn_afo', 'extension_degree': 1, 'extension_label': '1.9.ac', 'multiplicity': 1}
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id: 1418401
{'base_label': '3.9.ai_bn_afo', 'extension_degree': 1, 'extension_label': '1.9.a', 'multiplicity': 1}
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id: 1418402
{'base_label': '3.9.ai_bn_afo', 'extension_degree': 2, 'extension_label': '1.81.as', 'multiplicity': 1}
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id: 1418403
{'base_label': '3.9.ai_bn_afo', 'extension_degree': 2, 'extension_label': '1.81.o', 'multiplicity': 1}
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id: 1418404
{'base_label': '3.9.ai_bn_afo', 'extension_degree': 2, 'extension_label': '1.81.s', 'multiplicity': 1}
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id: 1418405
{'base_label': '3.9.ai_bn_afo', 'extension_degree': 4, 'extension_label': '1.6561.agg', 'multiplicity': 2}
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id: 1418406
{'base_label': '3.9.ai_bn_afo', 'extension_degree': 4, 'extension_label': '1.6561.abi', 'multiplicity': 1}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['1/2'], 'center': '1.1.1.1', 'center_dim': 1, 'divalg_dim': 4, 'extension_label': '1.9.ag', 'galois_group': '1T1', 'places': [['0']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.8.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.9.ac', 'galois_group': '2T1', 'places': [['1', '1'], ['2', '1']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0'], 'center': '2.0.4.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.9.a', 'galois_group': '2T1', 'places': [['0', '0']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['1/2'], 'center': '1.1.1.1', 'center_dim': 1, 'divalg_dim': 4, 'extension_label': '1.81.as', 'galois_group': '1T1', 'places': [['0']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.8.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.81.o', 'galois_group': '2T1', 'places': [['1', '1'], ['2', '1']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['1/2'], 'center': '1.1.1.1', 'center_dim': 1, 'divalg_dim': 4, 'extension_label': '1.81.s', 'galois_group': '1T1', 'places': [['0']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['1/2'], 'center': '1.1.1.1', 'center_dim': 1, 'divalg_dim': 4, 'extension_label': '1.6561.agg', 'galois_group': '1T1', 'places': [['0']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.8.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.6561.abi', 'galois_group': '2T1', 'places': [['2', '1'], ['1', '1']]}