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av_fq_isog • Show schema
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{'abvar_count': 4, 'abvar_counts': [4, 5000, 114244, 6250000, 124333484, 999635000, 18913493876, 738112500000, 27192179459068, 1068490878125000], 'abvar_counts_str': '4 5000 114244 6250000 124333484 999635000 18913493876 738112500000 27192179459068 1068490878125000 ', 'angle_corank': 4, 'angle_rank': 1, 'angles': [0.25, 0.25, 0.25, 0.25, 0.615026728081308], 'center_dim': 4, 'curve_count': -4, 'curve_counts': [-4, 8, 20, 48, 76, 56, 52, 160, 380, 968], 'curve_counts_str': '-4 8 20 48 76 56 52 160 380 968 ', 'curves': [''], 'dim1_distinct': 2, 'dim1_factors': 5, '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': 5, 'galois_groups': ['2T1', '2T1'], 'geom_dim1_distinct': 2, 'geom_dim1_factors': 5, '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', '2.0.7.1'], 'geometric_splitting_field': '2.0.7.1', 'geometric_splitting_polynomials': [[2, -1, 1]], 'has_geom_ss_factor': True, 'has_jacobian': -1, 'has_principal_polarization': 1, 'hyp_count': 0, 'is_cyclic': True, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': False, 'is_squarefree': False, 'is_supersingular': False, 'jacobian_count': 0, 'label': '5.2.ah_ba_acm_eq_ahc', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 4, 'max_twist_degree': 40, 'newton_coelevation': 3, 'newton_elevation': 6, 'noncyclic_primes': [], 'number_fields': ['2.0.4.1', '2.0.7.1'], 'p': 2, 'p_rank': 1, 'p_rank_deficit': 4, 'poly': [1, -7, 26, -64, 120, -184, 240, -256, 208, -112, 32], 'poly_str': '1 -7 26 -64 120 -184 240 -256 208 -112 32 ', 'primitive_models': [], 'q': 2, 'real_poly': [1, -7, 16, -8, -16, 16], 'simple_distinct': ['1.2.ac', '1.2.b'], 'simple_factors': ['1.2.acA', '1.2.acB', '1.2.acC', '1.2.acD', '1.2.bA'], 'simple_multiplicities': [4, 1], 'slopes': ['0A', '1/2A', '1/2B', '1/2C', '1/2D', '1/2E', '1/2F', '1/2G', '1/2H', '1A'], 'splitting_field': '4.0.784.1', 'splitting_polynomials': [[4, 0, -3, 0, 1]], 'twist_count': 130, 'twists': [['5.2.aj_bq_aey_ku_aro', '5.4.d_u_bw_ge_lc', 2], ['5.2.af_o_ay_bg_abo', '5.4.d_u_bw_ge_lc', 2], ['5.2.ad_g_ai_q_ay', '5.4.d_u_bw_ge_lc', 2], ['5.2.ab_c_a_i_ai', '5.4.d_u_bw_ge_lc', 2], ['5.2.b_c_a_i_i', '5.4.d_u_bw_ge_lc', 2], ['5.2.d_g_i_q_y', '5.4.d_u_bw_ge_lc', 2], ['5.2.f_o_y_bg_bo', '5.4.d_u_bw_ge_lc', 2], ['5.2.h_ba_cm_eq_hc', '5.4.d_u_bw_ge_lc', 2], ['5.2.j_bq_ey_ku_ro', '5.4.d_u_bw_ge_lc', 2], ['5.2.ab_c_c_a_i', '5.8.l_ce_ey_a_ayq', 3], ['5.2.f_o_bg_ci_do', '5.8.l_ce_ey_a_ayq', 3], ['5.2.d_g_g_a_ae', '5.32.br_bim_rky_gdbk_bolgy', 5], ['5.2.ah_ba_aco_ey_ahs', '5.64.aj_mi_adkq_cipk_ampfc', 6], ['5.2.af_o_abg_ci_ado', '5.64.aj_mi_adkq_cipk_ampfc', 6], ['5.2.af_o_abe_ce_adk', '5.64.aj_mi_adkq_cipk_ampfc', 6], ['5.2.ad_g_aq_bc_abk', '5.64.aj_mi_adkq_cipk_ampfc', 6], ['5.2.ad_g_ak_q_ay', '5.64.aj_mi_adkq_cipk_ampfc', 6], ['5.2.ad_g_ac_ai_y', '5.64.aj_mi_adkq_cipk_ampfc', 6], ['5.2.ab_c_ag_i_ai', '5.64.aj_mi_adkq_cipk_ampfc', 6], ['5.2.ab_c_a_ae_e', '5.64.aj_mi_adkq_cipk_ampfc', 6], ['5.2.b_c_ac_a_ai', '5.64.aj_mi_adkq_cipk_ampfc', 6], ['5.2.b_c_a_ae_ae', '5.64.aj_mi_adkq_cipk_ampfc', 6], ['5.2.b_c_g_i_i', '5.64.aj_mi_adkq_cipk_ampfc', 6], ['5.2.d_g_c_ai_ay', '5.64.aj_mi_adkq_cipk_ampfc', 6], ['5.2.d_g_k_q_y', '5.64.aj_mi_adkq_cipk_ampfc', 6], ['5.2.d_g_q_bc_bk', '5.64.aj_mi_adkq_cipk_ampfc', 6], ['5.2.f_o_be_ce_dk', '5.64.aj_mi_adkq_cipk_ampfc', 6], ['5.2.h_ba_co_ey_hs', '5.64.aj_mi_adkq_cipk_ampfc', 6], ['5.2.ah_bc_acy_ga_ajo', '5.256.adt_fcy_achca_abndym_ccflwq', 8], ['5.2.af_k_ae_ay_ce', '5.256.adt_fcy_achca_abndym_ccflwq', 8], ['5.2.af_q_abk_cq_aea', '5.256.adt_fcy_achca_abndym_ccflwq', 8], ['5.2.af_s_abs_dk_afg', '5.256.adt_fcy_achca_abndym_ccflwq', 8], ['5.2.ad_c_e_ai_i', '5.256.adt_fcy_achca_abndym_ccflwq', 8], ['5.2.ad_e_a_am_y', '5.256.adt_fcy_achca_abndym_ccflwq', 8], ['5.2.ad_i_am_u_ay', '5.256.adt_fcy_achca_abndym_ccflwq', 8], ['5.2.ad_k_au_bo_ace', '5.256.adt_fcy_achca_abndym_ccflwq', 8], ['5.2.ad_m_ay_ca_acu', '5.256.adt_fcy_achca_abndym_ccflwq', 8], ['5.2.ab_ag_i_i_ay', '5.256.adt_fcy_achca_abndym_ccflwq', 8], ['5.2.ab_ac_e_a_ai', '5.256.adt_fcy_achca_abndym_ccflwq', 8], ['5.2.ab_a_a_ae_i', '5.256.adt_fcy_achca_abndym_ccflwq', 8], ['5.2.ab_c_a_ai_i', '5.256.adt_fcy_achca_abndym_ccflwq', 8], ['5.2.ab_e_ae_m_ai', '5.256.adt_fcy_achca_abndym_ccflwq', 8], ['5.2.ab_g_ae_q_ai', '5.256.adt_fcy_achca_abndym_ccflwq', 8], ['5.2.ab_i_ai_bc_ay', '5.256.adt_fcy_achca_abndym_ccflwq', 8], ['5.2.ab_k_ai_bo_ay', '5.256.adt_fcy_achca_abndym_ccflwq', 8], ['5.2.b_ag_ai_i_y', '5.256.adt_fcy_achca_abndym_ccflwq', 8], ['5.2.b_ac_ae_a_i', '5.256.adt_fcy_achca_abndym_ccflwq', 8], ['5.2.b_a_a_ae_ai', '5.256.adt_fcy_achca_abndym_ccflwq', 8], ['5.2.b_c_a_ai_ai', '5.256.adt_fcy_achca_abndym_ccflwq', 8], ['5.2.b_e_e_m_i', '5.256.adt_fcy_achca_abndym_ccflwq', 8], ['5.2.b_g_e_q_i', '5.256.adt_fcy_achca_abndym_ccflwq', 8], ['5.2.b_i_i_bc_y', '5.256.adt_fcy_achca_abndym_ccflwq', 8], ['5.2.b_k_i_bo_y', '5.256.adt_fcy_achca_abndym_ccflwq', 8], ['5.2.d_c_ae_ai_ai', '5.256.adt_fcy_achca_abndym_ccflwq', 8], ['5.2.d_e_a_am_ay', '5.256.adt_fcy_achca_abndym_ccflwq', 8], ['5.2.d_i_m_u_y', '5.256.adt_fcy_achca_abndym_ccflwq', 8], ['5.2.d_k_u_bo_ce', '5.256.adt_fcy_achca_abndym_ccflwq', 8], ['5.2.d_m_y_ca_cu', '5.256.adt_fcy_achca_abndym_ccflwq', 8], ['5.2.f_k_e_ay_ace', '5.256.adt_fcy_achca_abndym_ccflwq', 8], ['5.2.f_q_bk_cq_ea', '5.256.adt_fcy_achca_abndym_ccflwq', 8], ['5.2.f_s_bs_dk_fg', '5.256.adt_fcy_achca_abndym_ccflwq', 8], ['5.2.h_bc_cy_ga_jo', '5.256.adt_fcy_achca_abndym_ccflwq', 8], ['5.2.ad_g_ag_a_e', '5.1024.acf_hoy_anhjs_wypmm_abeetopk', 10], ['5.2.ab_c_ac_a_ae', '5.1024.acf_hoy_anhjs_wypmm_abeetopk', 10], ['5.2.b_c_c_a_e', '5.1024.acf_hoy_anhjs_wypmm_abeetopk', 10], ['5.2.ah_ba_aco_ey_ahs', '5.4096.vn_idie_bwngge_holudho_vvzikurg', 12], ['5.2.ab_c_a_a_a', '5.65536.adsb_geltg_agdsqvzc_eaycpouia_abvodftozxdo', 16], ['5.2.b_c_a_a_a', '5.65536.adsb_geltg_agdsqvzc_eaycpouia_abvodftozxdo', 16], ['5.2.af_m_ao_e_i', '5.16777216.abnqf_ylrols_ahpqvdcirg_bghxilsbkdoi_aenvcxfmjfbwezg', 24], ['5.2.af_q_abm_cu_aei', '5.16777216.abnqf_ylrols_ahpqvdcirg_bghxilsbkdoi_aenvcxfmjfbwezg', 24], ['5.2.af_q_abi_ci_adk', '5.16777216.abnqf_ylrols_ahpqvdcirg_bghxilsbkdoi_aenvcxfmjfbwezg', 24], ['5.2.ad_c_c_ai_q', '5.16777216.abnqf_ylrols_ahpqvdcirg_bghxilsbkdoi_aenvcxfmjfbwezg', 24], ['5.2.ad_e_ae_e_ae', '5.16777216.abnqf_ylrols_ahpqvdcirg_bghxilsbkdoi_aenvcxfmjfbwezg', 24], ['5.2.ad_e_ac_e_ai', '5.16777216.abnqf_ylrols_ahpqvdcirg_bghxilsbkdoi_aenvcxfmjfbwezg', 24], ['5.2.ad_g_ag_e_a', '5.16777216.abnqf_ylrols_ahpqvdcirg_bghxilsbkdoi_aenvcxfmjfbwezg', 24], ['5.2.ad_i_as_bg_abw', '5.16777216.abnqf_ylrols_ahpqvdcirg_bghxilsbkdoi_aenvcxfmjfbwezg', 24], ['5.2.ad_i_aq_bc_abs', '5.16777216.abnqf_ylrols_ahpqvdcirg_bghxilsbkdoi_aenvcxfmjfbwezg', 24], ['5.2.ad_i_ao_bc_abo', '5.16777216.abnqf_ylrols_ahpqvdcirg_bghxilsbkdoi_aenvcxfmjfbwezg', 24], ['5.2.ad_k_aw_bo_acm', '5.16777216.abnqf_ylrols_ahpqvdcirg_bghxilsbkdoi_aenvcxfmjfbwezg', 24], ['5.2.ad_k_as_bk_abw', '5.16777216.abnqf_ylrols_ahpqvdcirg_bghxilsbkdoi_aenvcxfmjfbwezg', 24], ['5.2.ab_ae_g_e_aq', '5.16777216.abnqf_ylrols_ahpqvdcirg_bghxilsbkdoi_aenvcxfmjfbwezg', 24], ['5.2.ab_ac_ac_a_q', '5.16777216.abnqf_ylrols_ahpqvdcirg_bghxilsbkdoi_aenvcxfmjfbwezg', 24], ['5.2.ab_ac_e_e_am', '5.16777216.abnqf_ylrols_ahpqvdcirg_bghxilsbkdoi_aenvcxfmjfbwezg', 24], ['5.2.ab_a_ae_e_e', '5.16777216.abnqf_ylrols_ahpqvdcirg_bghxilsbkdoi_aenvcxfmjfbwezg', 24], ['5.2.ab_a_c_ae_a', '5.16777216.abnqf_ylrols_ahpqvdcirg_bghxilsbkdoi_aenvcxfmjfbwezg', 24], ['5.2.ab_a_c_e_ai', '5.16777216.abnqf_ylrols_ahpqvdcirg_bghxilsbkdoi_aenvcxfmjfbwezg', 24], ['5.2.ab_c_ac_e_a', '5.16777216.abnqf_ylrols_ahpqvdcirg_bghxilsbkdoi_aenvcxfmjfbwezg', 24], ['5.2.ab_c_a_e_ae', '5.16777216.abnqf_ylrols_ahpqvdcirg_bghxilsbkdoi_aenvcxfmjfbwezg', 24], ['5.2.ab_e_ai_m_au', '5.16777216.abnqf_ylrols_ahpqvdcirg_bghxilsbkdoi_aenvcxfmjfbwezg', 24], ['5.2.ab_e_ag_i_aq', '5.16777216.abnqf_ylrols_ahpqvdcirg_bghxilsbkdoi_aenvcxfmjfbwezg', 24], ['5.2.ab_e_ac_e_a', '5.16777216.abnqf_ylrols_ahpqvdcirg_bghxilsbkdoi_aenvcxfmjfbwezg', 24], ['5.2.ab_e_ac_m_ai', '5.16777216.abnqf_ylrols_ahpqvdcirg_bghxilsbkdoi_aenvcxfmjfbwezg', 24], ['5.2.ab_e_c_a_q', '5.16777216.abnqf_ylrols_ahpqvdcirg_bghxilsbkdoi_aenvcxfmjfbwezg', 24], ['5.2.ab_g_ak_q_abg', '5.16777216.abnqf_ylrols_ahpqvdcirg_bghxilsbkdoi_aenvcxfmjfbwezg', 24], ['5.2.ab_g_ag_u_aq', '5.16777216.abnqf_ylrols_ahpqvdcirg_bghxilsbkdoi_aenvcxfmjfbwezg', 24], ['5.2.ab_g_ae_u_am', '5.16777216.abnqf_ylrols_ahpqvdcirg_bghxilsbkdoi_aenvcxfmjfbwezg', 24], ['5.2.ab_i_ag_bc_aq', '5.16777216.abnqf_ylrols_ahpqvdcirg_bghxilsbkdoi_aenvcxfmjfbwezg', 24], ['5.2.b_ae_ag_e_q', '5.16777216.abnqf_ylrols_ahpqvdcirg_bghxilsbkdoi_aenvcxfmjfbwezg', 24], ['5.2.b_ac_ae_e_m', '5.16777216.abnqf_ylrols_ahpqvdcirg_bghxilsbkdoi_aenvcxfmjfbwezg', 24], ['5.2.b_ac_c_a_aq', '5.16777216.abnqf_ylrols_ahpqvdcirg_bghxilsbkdoi_aenvcxfmjfbwezg', 24], ['5.2.b_a_ac_ae_a', '5.16777216.abnqf_ylrols_ahpqvdcirg_bghxilsbkdoi_aenvcxfmjfbwezg', 24], ['5.2.b_a_ac_e_i', '5.16777216.abnqf_ylrols_ahpqvdcirg_bghxilsbkdoi_aenvcxfmjfbwezg', 24], ['5.2.b_a_e_e_ae', '5.16777216.abnqf_ylrols_ahpqvdcirg_bghxilsbkdoi_aenvcxfmjfbwezg', 24], ['5.2.b_c_a_e_e', '5.16777216.abnqf_ylrols_ahpqvdcirg_bghxilsbkdoi_aenvcxfmjfbwezg', 24], ['5.2.b_c_c_e_a', '5.16777216.abnqf_ylrols_ahpqvdcirg_bghxilsbkdoi_aenvcxfmjfbwezg', 24], ['5.2.b_e_ac_a_aq', '5.16777216.abnqf_ylrols_ahpqvdcirg_bghxilsbkdoi_aenvcxfmjfbwezg', 24], ['5.2.b_e_c_e_a', '5.16777216.abnqf_ylrols_ahpqvdcirg_bghxilsbkdoi_aenvcxfmjfbwezg', 24], ['5.2.b_e_c_m_i', '5.16777216.abnqf_ylrols_ahpqvdcirg_bghxilsbkdoi_aenvcxfmjfbwezg', 24], ['5.2.b_e_g_i_q', '5.16777216.abnqf_ylrols_ahpqvdcirg_bghxilsbkdoi_aenvcxfmjfbwezg', 24], ['5.2.b_e_i_m_u', '5.16777216.abnqf_ylrols_ahpqvdcirg_bghxilsbkdoi_aenvcxfmjfbwezg', 24], ['5.2.b_g_e_u_m', '5.16777216.abnqf_ylrols_ahpqvdcirg_bghxilsbkdoi_aenvcxfmjfbwezg', 24], ['5.2.b_g_g_u_q', '5.16777216.abnqf_ylrols_ahpqvdcirg_bghxilsbkdoi_aenvcxfmjfbwezg', 24], ['5.2.b_g_k_q_bg', '5.16777216.abnqf_ylrols_ahpqvdcirg_bghxilsbkdoi_aenvcxfmjfbwezg', 24], ['5.2.b_i_g_bc_q', '5.16777216.abnqf_ylrols_ahpqvdcirg_bghxilsbkdoi_aenvcxfmjfbwezg', 24], ['5.2.d_c_ac_ai_aq', '5.16777216.abnqf_ylrols_ahpqvdcirg_bghxilsbkdoi_aenvcxfmjfbwezg', 24], ['5.2.d_e_c_e_i', '5.16777216.abnqf_ylrols_ahpqvdcirg_bghxilsbkdoi_aenvcxfmjfbwezg', 24], ['5.2.d_e_e_e_e', '5.16777216.abnqf_ylrols_ahpqvdcirg_bghxilsbkdoi_aenvcxfmjfbwezg', 24], ['5.2.d_g_g_e_a', '5.16777216.abnqf_ylrols_ahpqvdcirg_bghxilsbkdoi_aenvcxfmjfbwezg', 24], ['5.2.d_i_o_bc_bo', '5.16777216.abnqf_ylrols_ahpqvdcirg_bghxilsbkdoi_aenvcxfmjfbwezg', 24], ['5.2.d_i_q_bc_bs', '5.16777216.abnqf_ylrols_ahpqvdcirg_bghxilsbkdoi_aenvcxfmjfbwezg', 24], ['5.2.d_i_s_bg_bw', '5.16777216.abnqf_ylrols_ahpqvdcirg_bghxilsbkdoi_aenvcxfmjfbwezg', 24], ['5.2.d_k_s_bk_bw', '5.16777216.abnqf_ylrols_ahpqvdcirg_bghxilsbkdoi_aenvcxfmjfbwezg', 24], ['5.2.d_k_w_bo_cm', '5.16777216.abnqf_ylrols_ahpqvdcirg_bghxilsbkdoi_aenvcxfmjfbwezg', 24], ['5.2.f_m_o_e_ai', '5.16777216.abnqf_ylrols_ahpqvdcirg_bghxilsbkdoi_aenvcxfmjfbwezg', 24], ['5.2.f_q_bi_ci_dk', '5.16777216.abnqf_ylrols_ahpqvdcirg_bghxilsbkdoi_aenvcxfmjfbwezg', 24], ['5.2.f_q_bm_cu_ei', '5.16777216.abnqf_ylrols_ahpqvdcirg_bghxilsbkdoi_aenvcxfmjfbwezg', 24], ['5.2.ab_a_c_a_ae', '5.1099511627776.aqyaqb_ewkcuivjtg_avpzpojrfiohvnc_cpfkgezqvvjmoansgua_aglcbbnldsxeuylhmtdhpijo', 40], ['5.2.ab_e_ac_i_ae', '5.1099511627776.aqyaqb_ewkcuivjtg_avpzpojrfiohvnc_cpfkgezqvvjmoansgua_aglcbbnldsxeuylhmtdhpijo', 40], ['5.2.b_a_ac_a_e', '5.1099511627776.aqyaqb_ewkcuivjtg_avpzpojrfiohvnc_cpfkgezqvvjmoansgua_aglcbbnldsxeuylhmtdhpijo', 40], ['5.2.b_e_c_i_e', '5.1099511627776.aqyaqb_ewkcuivjtg_avpzpojrfiohvnc_cpfkgezqvvjmoansgua_aglcbbnldsxeuylhmtdhpijo', 40]]}
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av_fq_endalg_factors • Show schema
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id: 2934157
{'base_label': '5.2.ah_ba_acm_eq_ahc', 'extension_degree': 1, 'extension_label': '1.2.ac', 'multiplicity': 4}
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id: 2934158
{'base_label': '5.2.ah_ba_acm_eq_ahc', 'extension_degree': 1, 'extension_label': '1.2.b', 'multiplicity': 1}
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id: 2934159
{'base_label': '5.2.ah_ba_acm_eq_ahc', 'extension_degree': 2, 'extension_label': '1.4.a', 'multiplicity': 4}
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id: 2934160
{'base_label': '5.2.ah_ba_acm_eq_ahc', 'extension_degree': 2, 'extension_label': '1.4.d', 'multiplicity': 1}
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id: 2934161
{'base_label': '5.2.ah_ba_acm_eq_ahc', 'extension_degree': 4, 'extension_label': '1.16.ab', 'multiplicity': 1}
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id: 2934162
{'base_label': '5.2.ah_ba_acm_eq_ahc', 'extension_degree': 4, 'extension_label': '1.16.i', 'multiplicity': 4}
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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': '1.2.ac', 'galois_group': '2T1', 'places': [['1', '1']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.7.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.2.b', 'galois_group': '2T1', 'places': [['0', '1'], ['1', '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': '1.4.a', 'galois_group': '2T1', 'places': [['1', '1']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.7.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.4.d', 'galois_group': '2T1', 'places': [['1', '1'], ['0', '1']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.7.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.16.ab', 'galois_group': '2T1', 'places': [['0', '1'], ['1', '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': '1.16.i', 'galois_group': '1T1', 'places': [['0']]}