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av_fq_isog • Show schema
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{'abvar_count': 1156, 'abvar_counts': [1156, 1336336, 241429444, 140283207936, 95245771247236, 58288176430149136, 37252509345522290884, 23535616807151861760000, 14551941500420030499395716, 9071756940480807939037639696], 'abvar_counts_str': '1156 1336336 241429444 140283207936 95245771247236 58288176430149136 37252509345522290884 23535616807151861760000 14551941500420030499395716 9071756940480807939037639696 ', 'angle_corank': 3, 'angle_rank': 1, 'angles': [0.397583617650433, 0.397583617650433, 0.602416382349567, 0.602416382349567], 'center_dim': 4, 'curve_count': 6, 'curve_counts': [6, 58, 126, 570, 3126, 15274, 78126, 394842, 1953126, 9740698], 'curve_counts_str': '6 58 126 570 3126 15274 78126 394842 1953126 9740698 ', 'curves': [], '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': ['2.0.4.1'], 'geometric_splitting_field': '2.0.4.1', 'geometric_splitting_polynomials': [[1, 0, 1]], 'has_geom_ss_factor': False, 'has_jacobian': 0, 'has_principal_polarization': 1, 'hyp_count': 0, 'is_cyclic': False, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': False, 'is_squarefree': False, 'is_supersingular': False, 'label': '4.5.a_q_a_ek', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 40, 'newton_coelevation': 6, 'newton_elevation': 0, 'noncyclic_primes': [2, 17], 'number_fields': ['4.0.256.1'], 'p': 5, 'p_rank': 4, 'p_rank_deficit': 0, 'poly': [1, 0, 16, 0, 114, 0, 400, 0, 625], 'poly_str': '1 0 16 0 114 0 400 0 625 ', 'primitive_models': [], 'q': 5, 'real_poly': [1, 0, -4, 0, 4], 'simple_distinct': ['2.5.a_i'], 'simple_factors': ['2.5.a_iA', '2.5.a_iB'], 'simple_multiplicities': [2], 'slopes': ['0A', '0B', '0C', '0D', '1A', '1B', '1C', '1D'], 'splitting_field': '4.0.256.1', 'splitting_polynomials': [[1, 0, 0, 0, 1]], 'twist_count': 124, 'twists': [['4.5.a_ai_a_bn', '4.125.a_agu_a_cfru', 3], ['4.5.a_aq_a_ek', '4.625.ace_flk_agpoq_ilemg', 4], ['4.5.a_a_a_ao', '4.625.ace_flk_agpoq_ilemg', 4], ['4.5.aq_em_atc_cao', '4.390625.gge_sadpk_bfeasxoq_bjfzvduxsg', 8], ['4.5.ao_do_aog_bmk', '4.390625.gge_sadpk_bfeasxoq_bjfzvduxsg', 8], ['4.5.am_cu_akq_bcg', '4.390625.gge_sadpk_bfeasxoq_bjfzvduxsg', 8], ['4.5.ak_bs_aeo_kc', '4.390625.gge_sadpk_bfeasxoq_bjfzvduxsg', 8], ['4.5.ak_ce_ahy_uw', '4.390625.gge_sadpk_bfeasxoq_bjfzvduxsg', 8], ['4.5.ai_s_y_agc', '4.390625.gge_sadpk_bfeasxoq_bjfzvduxsg', 8], ['4.5.ai_u_i_aec', '4.390625.gge_sadpk_bfeasxoq_bjfzvduxsg', 8], ['4.5.ai_bg_adk_hy', '4.390625.gge_sadpk_bfeasxoq_bjfzvduxsg', 8], ['4.5.ai_bi_aea_jy', '4.390625.gge_sadpk_bfeasxoq_bjfzvduxsg', 8], ['4.5.ai_bs_afw_pq', '4.390625.gge_sadpk_bfeasxoq_bjfzvduxsg', 8], ['4.5.ag_k_s_adq', '4.390625.gge_sadpk_bfeasxoq_bjfzvduxsg', 8], ['4.5.ag_m_g_acg', '4.390625.gge_sadpk_bfeasxoq_bjfzvduxsg', 8], ['4.5.ag_y_aco_gc', '4.390625.gge_sadpk_bfeasxoq_bjfzvduxsg', 8], ['4.5.ag_ba_ada_hm', '4.390625.gge_sadpk_bfeasxoq_bjfzvduxsg', 8], ['4.5.ae_g_m_ack', '4.390625.gge_sadpk_bfeasxoq_bjfzvduxsg', 8], ['4.5.ae_i_abc_dq', '4.390625.gge_sadpk_bfeasxoq_bjfzvduxsg', 8], ['4.5.ae_i_e_abi', '4.390625.gge_sadpk_bfeasxoq_bjfzvduxsg', 8], ['4.5.ae_u_abs_fe', '4.390625.gge_sadpk_bfeasxoq_bjfzvduxsg', 8], ['4.5.ae_w_aca_gg', '4.390625.gge_sadpk_bfeasxoq_bjfzvduxsg', 8], ['4.5.ac_ag_g_bi', '4.390625.gge_sadpk_bfeasxoq_bjfzvduxsg', 8], ['4.5.ac_ae_c_bm', '4.390625.gge_sadpk_bfeasxoq_bjfzvduxsg', 8], ['4.5.ac_i_aw_ck', '4.390625.gge_sadpk_bfeasxoq_bjfzvduxsg', 8], ['4.5.ac_i_k_ac', '4.390625.gge_sadpk_bfeasxoq_bjfzvduxsg', 8], ['4.5.ac_k_aba_co', '4.390625.gge_sadpk_bfeasxoq_bjfzvduxsg', 8], ['4.5.a_ao_a_du', '4.390625.gge_sadpk_bfeasxoq_bjfzvduxsg', 8], ['4.5.a_am_a_di', '4.390625.gge_sadpk_bfeasxoq_bjfzvduxsg', 8], ['4.5.a_ac_a_c', '4.390625.gge_sadpk_bfeasxoq_bjfzvduxsg', 8], ['4.5.a_a_a_o', '4.390625.gge_sadpk_bfeasxoq_bjfzvduxsg', 8], ['4.5.a_c_a_c', '4.390625.gge_sadpk_bfeasxoq_bjfzvduxsg', 8], ['4.5.a_m_a_di', '4.390625.gge_sadpk_bfeasxoq_bjfzvduxsg', 8], ['4.5.a_o_a_du', '4.390625.gge_sadpk_bfeasxoq_bjfzvduxsg', 8], ['4.5.c_ag_ag_bi', '4.390625.gge_sadpk_bfeasxoq_bjfzvduxsg', 8], ['4.5.c_ae_ac_bm', '4.390625.gge_sadpk_bfeasxoq_bjfzvduxsg', 8], ['4.5.c_i_ak_ac', '4.390625.gge_sadpk_bfeasxoq_bjfzvduxsg', 8], ['4.5.c_i_w_ck', '4.390625.gge_sadpk_bfeasxoq_bjfzvduxsg', 8], ['4.5.c_k_ba_co', '4.390625.gge_sadpk_bfeasxoq_bjfzvduxsg', 8], ['4.5.e_g_am_ack', '4.390625.gge_sadpk_bfeasxoq_bjfzvduxsg', 8], ['4.5.e_i_ae_abi', '4.390625.gge_sadpk_bfeasxoq_bjfzvduxsg', 8], ['4.5.e_i_bc_dq', '4.390625.gge_sadpk_bfeasxoq_bjfzvduxsg', 8], ['4.5.e_u_bs_fe', '4.390625.gge_sadpk_bfeasxoq_bjfzvduxsg', 8], ['4.5.e_w_ca_gg', '4.390625.gge_sadpk_bfeasxoq_bjfzvduxsg', 8], ['4.5.g_k_as_adq', '4.390625.gge_sadpk_bfeasxoq_bjfzvduxsg', 8], ['4.5.g_m_ag_acg', '4.390625.gge_sadpk_bfeasxoq_bjfzvduxsg', 8], ['4.5.g_y_co_gc', '4.390625.gge_sadpk_bfeasxoq_bjfzvduxsg', 8], ['4.5.g_ba_da_hm', '4.390625.gge_sadpk_bfeasxoq_bjfzvduxsg', 8], ['4.5.i_s_ay_agc', '4.390625.gge_sadpk_bfeasxoq_bjfzvduxsg', 8], ['4.5.i_u_ai_aec', '4.390625.gge_sadpk_bfeasxoq_bjfzvduxsg', 8], ['4.5.i_bg_dk_hy', '4.390625.gge_sadpk_bfeasxoq_bjfzvduxsg', 8], ['4.5.i_bi_ea_jy', '4.390625.gge_sadpk_bfeasxoq_bjfzvduxsg', 8], ['4.5.i_bs_fw_pq', '4.390625.gge_sadpk_bfeasxoq_bjfzvduxsg', 8], ['4.5.k_bs_eo_kc', '4.390625.gge_sadpk_bfeasxoq_bjfzvduxsg', 8], ['4.5.k_ce_hy_uw', '4.390625.gge_sadpk_bfeasxoq_bjfzvduxsg', 8], ['4.5.m_cu_kq_bcg', '4.390625.gge_sadpk_bfeasxoq_bjfzvduxsg', 8], ['4.5.o_do_og_bmk', '4.390625.gge_sadpk_bfeasxoq_bjfzvduxsg', 8], ['4.5.q_em_tc_cao', '4.390625.gge_sadpk_bfeasxoq_bjfzvduxsg', 8], ['4.5.a_i_a_bn', '4.244140625.fjci_nxfqrpc_wgognvrsse_xxqwroxdazrus', 12], ['4.5.a_a_a_abw', '4.152587890625.acxarw_gbeqvbwfk_ahvngdrgbxixvk_iazkgasgglosronog', 16], ['4.5.a_a_a_bw', '4.152587890625.acxarw_gbeqvbwfk_ahvngdrgbxixvk_iazkgasgglosronog', 16], ['4.5.am_cr_ajs_zg', '4.59604644775390625.avqkkei_ctsjplyjhprdc_abpmdwhlnwghdwsultie_criugzvnvxyervexblrlefnms', 24], ['4.5.ak_bp_adq_hc', '4.59604644775390625.avqkkei_ctsjplyjhprdc_abpmdwhlnwghdwsultie_criugzvnvxyervexblrlefnms', 24], ['4.5.ak_cb_ahg_su', '4.59604644775390625.avqkkei_ctsjplyjhprdc_abpmdwhlnwghdwsultie_criugzvnvxyervexblrlefnms', 24], ['4.5.ai_bd_acs_fw', '4.59604644775390625.avqkkei_ctsjplyjhprdc_abpmdwhlnwghdwsultie_criugzvnvxyervexblrlefnms', 24], ['4.5.ai_bm_aey_mt', '4.59604644775390625.avqkkei_ctsjplyjhprdc_abpmdwhlnwghdwsultie_criugzvnvxyervexblrlefnms', 24], ['4.5.ai_bp_afk_oa', '4.59604644775390625.avqkkei_ctsjplyjhprdc_abpmdwhlnwghdwsultie_criugzvnvxyervexblrlefnms', 24], ['4.5.ag_j_be_afg', '4.59604644775390625.avqkkei_ctsjplyjhprdc_abpmdwhlnwghdwsultie_criugzvnvxyervexblrlefnms', 24], ['4.5.ag_s_abw_ep', '4.59604644775390625.avqkkei_ctsjplyjhprdc_abpmdwhlnwghdwsultie_criugzvnvxyervexblrlefnms', 24], ['4.5.ag_v_aci_fw', '4.59604644775390625.avqkkei_ctsjplyjhprdc_abpmdwhlnwghdwsultie_criugzvnvxyervexblrlefnms', 24], ['4.5.ag_v_acc_em', '4.59604644775390625.avqkkei_ctsjplyjhprdc_abpmdwhlnwghdwsultie_criugzvnvxyervexblrlefnms', 24], ['4.5.ae_c_aq_dn', '4.59604644775390625.avqkkei_ctsjplyjhprdc_abpmdwhlnwghdwsultie_criugzvnvxyervexblrlefnms', 24], ['4.5.ae_d_m_abm', '4.59604644775390625.avqkkei_ctsjplyjhprdc_abpmdwhlnwghdwsultie_criugzvnvxyervexblrlefnms', 24], ['4.5.ae_f_aw_dk', '4.59604644775390625.avqkkei_ctsjplyjhprdc_abpmdwhlnwghdwsultie_criugzvnvxyervexblrlefnms', 24], ['4.5.ae_f_ae_q', '4.59604644775390625.avqkkei_ctsjplyjhprdc_abpmdwhlnwghdwsultie_criugzvnvxyervexblrlefnms', 24], ['4.5.ae_f_e_aq', '4.59604644775390625.avqkkei_ctsjplyjhprdc_abpmdwhlnwghdwsultie_criugzvnvxyervexblrlefnms', 24], ['4.5.ae_f_w_adk', '4.59604644775390625.avqkkei_ctsjplyjhprdc_abpmdwhlnwghdwsultie_criugzvnvxyervexblrlefnms', 24], ['4.5.ae_r_abs_em', '4.59604644775390625.avqkkei_ctsjplyjhprdc_abpmdwhlnwghdwsultie_criugzvnvxyervexblrlefnms', 24], ['4.5.ae_t_aca_fi', '4.59604644775390625.avqkkei_ctsjplyjhprdc_abpmdwhlnwghdwsultie_criugzvnvxyervexblrlefnms', 24], ['4.5.ac_aj_g_cg', '4.59604644775390625.avqkkei_ctsjplyjhprdc_abpmdwhlnwghdwsultie_criugzvnvxyervexblrlefnms', 24], ['4.5.ac_ah_c_ce', '4.59604644775390625.avqkkei_ctsjplyjhprdc_abpmdwhlnwghdwsultie_criugzvnvxyervexblrlefnms', 24], ['4.5.ac_c_q_abp', '4.59604644775390625.avqkkei_ctsjplyjhprdc_abpmdwhlnwghdwsultie_criugzvnvxyervexblrlefnms', 24], ['4.5.ac_f_aw_bs', '4.59604644775390625.avqkkei_ctsjplyjhprdc_abpmdwhlnwghdwsultie_criugzvnvxyervexblrlefnms', 24], ['4.5.ac_f_ae_i', '4.59604644775390625.avqkkei_ctsjplyjhprdc_abpmdwhlnwghdwsultie_criugzvnvxyervexblrlefnms', 24], ['4.5.ac_f_e_ai', '4.59604644775390625.avqkkei_ctsjplyjhprdc_abpmdwhlnwghdwsultie_criugzvnvxyervexblrlefnms', 24], ['4.5.ac_f_w_abs', '4.59604644775390625.avqkkei_ctsjplyjhprdc_abpmdwhlnwghdwsultie_criugzvnvxyervexblrlefnms', 24], ['4.5.ac_h_aba_bq', '4.59604644775390625.avqkkei_ctsjplyjhprdc_abpmdwhlnwghdwsultie_criugzvnvxyervexblrlefnms', 24], ['4.5.a_ag_a_l', '4.59604644775390625.avqkkei_ctsjplyjhprdc_abpmdwhlnwghdwsultie_criugzvnvxyervexblrlefnms', 24], ['4.5.a_ad_ag_i', '4.59604644775390625.avqkkei_ctsjplyjhprdc_abpmdwhlnwghdwsultie_criugzvnvxyervexblrlefnms', 24], ['4.5.a_ad_g_i', '4.59604644775390625.avqkkei_ctsjplyjhprdc_abpmdwhlnwghdwsultie_criugzvnvxyervexblrlefnms', 24], ['4.5.a_g_a_l', '4.59604644775390625.avqkkei_ctsjplyjhprdc_abpmdwhlnwghdwsultie_criugzvnvxyervexblrlefnms', 24], ['4.5.a_j_am_bs', '4.59604644775390625.avqkkei_ctsjplyjhprdc_abpmdwhlnwghdwsultie_criugzvnvxyervexblrlefnms', 24], ['4.5.a_j_m_bs', '4.59604644775390625.avqkkei_ctsjplyjhprdc_abpmdwhlnwghdwsultie_criugzvnvxyervexblrlefnms', 24], ['4.5.c_aj_ag_cg', '4.59604644775390625.avqkkei_ctsjplyjhprdc_abpmdwhlnwghdwsultie_criugzvnvxyervexblrlefnms', 24], ['4.5.c_ah_ac_ce', '4.59604644775390625.avqkkei_ctsjplyjhprdc_abpmdwhlnwghdwsultie_criugzvnvxyervexblrlefnms', 24], ['4.5.c_c_aq_abp', '4.59604644775390625.avqkkei_ctsjplyjhprdc_abpmdwhlnwghdwsultie_criugzvnvxyervexblrlefnms', 24], ['4.5.c_f_aw_abs', '4.59604644775390625.avqkkei_ctsjplyjhprdc_abpmdwhlnwghdwsultie_criugzvnvxyervexblrlefnms', 24], ['4.5.c_f_ae_ai', '4.59604644775390625.avqkkei_ctsjplyjhprdc_abpmdwhlnwghdwsultie_criugzvnvxyervexblrlefnms', 24], ['4.5.c_f_e_i', '4.59604644775390625.avqkkei_ctsjplyjhprdc_abpmdwhlnwghdwsultie_criugzvnvxyervexblrlefnms', 24], ['4.5.c_f_w_bs', '4.59604644775390625.avqkkei_ctsjplyjhprdc_abpmdwhlnwghdwsultie_criugzvnvxyervexblrlefnms', 24], ['4.5.c_h_ba_bq', '4.59604644775390625.avqkkei_ctsjplyjhprdc_abpmdwhlnwghdwsultie_criugzvnvxyervexblrlefnms', 24], ['4.5.e_c_q_dn', '4.59604644775390625.avqkkei_ctsjplyjhprdc_abpmdwhlnwghdwsultie_criugzvnvxyervexblrlefnms', 24], ['4.5.e_d_am_abm', '4.59604644775390625.avqkkei_ctsjplyjhprdc_abpmdwhlnwghdwsultie_criugzvnvxyervexblrlefnms', 24], ['4.5.e_f_aw_adk', '4.59604644775390625.avqkkei_ctsjplyjhprdc_abpmdwhlnwghdwsultie_criugzvnvxyervexblrlefnms', 24], ['4.5.e_f_ae_aq', '4.59604644775390625.avqkkei_ctsjplyjhprdc_abpmdwhlnwghdwsultie_criugzvnvxyervexblrlefnms', 24], ['4.5.e_f_e_q', '4.59604644775390625.avqkkei_ctsjplyjhprdc_abpmdwhlnwghdwsultie_criugzvnvxyervexblrlefnms', 24], ['4.5.e_f_w_dk', '4.59604644775390625.avqkkei_ctsjplyjhprdc_abpmdwhlnwghdwsultie_criugzvnvxyervexblrlefnms', 24], ['4.5.e_r_bs_em', '4.59604644775390625.avqkkei_ctsjplyjhprdc_abpmdwhlnwghdwsultie_criugzvnvxyervexblrlefnms', 24], ['4.5.e_t_ca_fi', '4.59604644775390625.avqkkei_ctsjplyjhprdc_abpmdwhlnwghdwsultie_criugzvnvxyervexblrlefnms', 24], ['4.5.g_j_abe_afg', '4.59604644775390625.avqkkei_ctsjplyjhprdc_abpmdwhlnwghdwsultie_criugzvnvxyervexblrlefnms', 24], ['4.5.g_s_bw_ep', '4.59604644775390625.avqkkei_ctsjplyjhprdc_abpmdwhlnwghdwsultie_criugzvnvxyervexblrlefnms', 24], ['4.5.g_v_cc_em', '4.59604644775390625.avqkkei_ctsjplyjhprdc_abpmdwhlnwghdwsultie_criugzvnvxyervexblrlefnms', 24], ['4.5.g_v_ci_fw', '4.59604644775390625.avqkkei_ctsjplyjhprdc_abpmdwhlnwghdwsultie_criugzvnvxyervexblrlefnms', 24], ['4.5.i_bd_cs_fw', '4.59604644775390625.avqkkei_ctsjplyjhprdc_abpmdwhlnwghdwsultie_criugzvnvxyervexblrlefnms', 24], ['4.5.i_bm_ey_mt', '4.59604644775390625.avqkkei_ctsjplyjhprdc_abpmdwhlnwghdwsultie_criugzvnvxyervexblrlefnms', 24], ['4.5.i_bp_fk_oa', '4.59604644775390625.avqkkei_ctsjplyjhprdc_abpmdwhlnwghdwsultie_criugzvnvxyervexblrlefnms', 24], ['4.5.k_bp_dq_hc', '4.59604644775390625.avqkkei_ctsjplyjhprdc_abpmdwhlnwghdwsultie_criugzvnvxyervexblrlefnms', 24], ['4.5.k_cb_hg_su', '4.59604644775390625.avqkkei_ctsjplyjhprdc_abpmdwhlnwghdwsultie_criugzvnvxyervexblrlefnms', 24], ['4.5.m_cr_js_zg', '4.59604644775390625.avqkkei_ctsjplyjhprdc_abpmdwhlnwghdwsultie_criugzvnvxyervexblrlefnms', 24], ['4.5.ae_l_ay_bp', '4.9094947017729282379150390625.afecibcygafw_luumzvmecjfxldvnybptk_apqmtagcsolraindcjqctvrsrfzyripk_ndbegejmrdooxhpytmgmhoanajklxqtyeezpzihsg', 40], ['4.5.ac_ab_m_at', '4.9094947017729282379150390625.afecibcygafw_luumzvmecjfxldvnybptk_apqmtagcsolraindcjqctvrsrfzyripk_ndbegejmrdooxhpytmgmhoanajklxqtyeezpzihsg', 40], ['4.5.c_ab_am_at', '4.9094947017729282379150390625.afecibcygafw_luumzvmecjfxldvnybptk_apqmtagcsolraindcjqctvrsrfzyripk_ndbegejmrdooxhpytmgmhoanajklxqtyeezpzihsg', 40], ['4.5.e_l_y_bp', '4.9094947017729282379150390625.afecibcygafw_luumzvmecjfxldvnybptk_apqmtagcsolraindcjqctvrsrfzyripk_ndbegejmrdooxhpytmgmhoanajklxqtyeezpzihsg', 40]]}
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av_fq_endalg_factors • Show schema
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id: 2842733
{'base_label': '4.5.a_q_a_ek', 'extension_degree': 1, 'extension_label': '2.5.a_i', 'multiplicity': 2}
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id: 2842734
{'base_label': '4.5.a_q_a_ek', 'extension_degree': 2, 'extension_label': '1.25.i', 'multiplicity': 4}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '4.0.256.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.5.a_i', 'galois_group': '4T2', 'places': [['2', '0', '1', '0'], ['3', '0', '1', '0']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.4.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.25.i', 'galois_group': '2T1', 'places': [['3', '1'], ['2', '1']]}