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av_fq_isog • Show schema
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{'abvar_count': 40, 'abvar_counts': [40, 8800, 307840, 28160000, 2683901000, 70162892800, 2468542996120, 356212961280000, 19301400889363840, 1247404987863100000], 'abvar_counts_str': '40 8800 307840 28160000 2683901000 70162892800 2468542996120 356212961280000 19301400889363840 1247404987863100000 ', 'angle_rank': 3, 'angles': [0.115026728081308, 0.25, 0.306143893905249, 0.57011898044867, 0.615026728081308, 0.884973271918692], 'center_dim': 12, 'curve_count': 1, 'curve_counts': [1, 7, 10, 23, 61, 64, 57, 319, 550, 1107], 'curve_counts_str': '1 7 10 23 61 64 57 319 550 1107 ', 'curves': [], 'dim1_distinct': 2, 'dim1_factors': 2, 'dim2_distinct': 2, 'dim2_factors': 2, 'dim3_distinct': 0, 'dim3_factors': 0, 'dim4_distinct': 0, 'dim4_factors': 0, 'dim5_distinct': 0, 'dim5_factors': 0, 'g': 6, 'galois_groups': ['2T1', '2T1', '4T3', '4T2'], 'geom_dim1_distinct': 2, 'geom_dim1_factors': 4, 'geom_dim2_distinct': 1, 'geom_dim2_factors': 1, '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': 7, 'geometric_extension_degree': 4, 'geometric_galois_groups': ['1T1', '2T1', '4T3'], 'geometric_number_fields': ['1.1.1.1', '2.0.7.1', '4.0.1025.1'], 'geometric_splitting_field': '16.0.417022715867161600000000.1', 'geometric_splitting_polynomials': [[4, 10, -11, -46, 52, -18, 14, -2, 1]], 'has_geom_ss_factor': True, 'has_jacobian': -1, 'has_principal_polarization': 1, 'hyp_count': 0, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': False, 'is_squarefree': True, 'jacobian_count': 0, 'label': '6.2.ac_d_ad_e_b_ag', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 4, 'max_twist_degree': 56, 'number_fields': ['2.0.4.1', '2.0.7.1', '4.0.1025.1', '4.0.784.1'], 'p': 2, 'p_rank': 5, 'p_rank_deficit': 1, 'poly': [1, -2, 3, -3, 4, 1, -6, 2, 16, -24, 48, -64, 64], 'poly_str': '1 -2 3 -3 4 1 -6 2 16 -24 48 -64 64 ', 'primitive_models': [], 'q': 2, 'real_poly': [1, -2, -9, 17, 16, -21, -14], 'simple_distinct': ['1.2.ac', '1.2.b', '2.2.ab_d', '2.2.a_ad'], 'simple_factors': ['1.2.acA', '1.2.bA', '2.2.ab_dA', '2.2.a_adA'], 'simple_multiplicities': [1, 1, 1, 1], 'slopes': ['0A', '0B', '0C', '0D', '0E', '1/2A', '1/2B', '1A', '1B', '1C', '1D', '1E'], 'splitting_field': '16.0.417022715867161600000000.1', 'splitting_polynomials': [[16, 0, 188, 0, 1457, 0, 2788, 0, 788, 0, -926, 0, 228, 0, -24, 0, 1]], 'twist_count': 84, 'twists': [['6.2.ae_j_al_g_h_as', '6.4.c_f_h_ba_ch_gu', 2], ['6.2.ac_d_ab_a_ab_g', '6.4.c_f_h_ba_ch_gu', 2], ['6.2.a_b_ab_c_b_c', '6.4.c_f_h_ba_ch_gu', 2], ['6.2.a_b_b_c_ab_c', '6.4.c_f_h_ba_ch_gu', 2], ['6.2.c_d_b_a_b_g', '6.4.c_f_h_ba_ch_gu', 2], ['6.2.c_d_d_e_ab_ag', '6.4.c_f_h_ba_ch_gu', 2], ['6.2.e_j_l_g_ah_as', '6.4.c_f_h_ba_ch_gu', 2], ['6.2.ag_z_act_gi_alp_sc', '6.16.g_bx_mp_cfq_kup_buhk', 4], ['6.2.ae_p_abj_da_afb_ic', '6.16.g_bx_mp_cfq_kup_buhk', 4], ['6.2.ae_p_abh_cs_aef_gs', '6.16.g_bx_mp_cfq_kup_buhk', 4], ['6.2.ac_j_ap_bo_acb_dy', '6.16.g_bx_mp_cfq_kup_buhk', 4], ['6.2.ac_j_an_bk_abr_dm', '6.16.g_bx_mp_cfq_kup_buhk', 4], ['6.2.ac_j_al_bg_abd_cw', '6.16.g_bx_mp_cfq_kup_buhk', 4], ['6.2.a_h_ad_ba_al_co', '6.16.g_bx_mp_cfq_kup_buhk', 4], ['6.2.a_h_ab_ba_af_ck', '6.16.g_bx_mp_cfq_kup_buhk', 4], ['6.2.a_h_b_ba_f_ck', '6.16.g_bx_mp_cfq_kup_buhk', 4], ['6.2.a_h_d_ba_l_co', '6.16.g_bx_mp_cfq_kup_buhk', 4], ['6.2.c_j_l_bg_bd_cw', '6.16.g_bx_mp_cfq_kup_buhk', 4], ['6.2.c_j_n_bk_br_dm', '6.16.g_bx_mp_cfq_kup_buhk', 4], ['6.2.c_j_p_bo_cb_dy', '6.16.g_bx_mp_cfq_kup_buhk', 4], ['6.2.e_p_bh_cs_ef_gs', '6.16.g_bx_mp_cfq_kup_buhk', 4], ['6.2.e_p_bj_da_fb_ic', '6.16.g_bx_mp_cfq_kup_buhk', 4], ['6.2.g_z_ct_gi_lp_sc', '6.16.g_bx_mp_cfq_kup_buhk', 4], ['6.2.ae_r_abp_du_agj_km', '6.256.ck_cer_wbn_afjpm_argkxd_apadfwy', 8], ['6.2.ac_f_af_e_d_ai', '6.256.ck_cer_wbn_afjpm_argkxd_apadfwy', 8], ['6.2.ac_l_ar_ca_acl_fg', '6.256.ck_cer_wbn_afjpm_argkxd_apadfwy', 8], ['6.2.ac_l_ap_bw_abx_eq', '6.256.ck_cer_wbn_afjpm_argkxd_apadfwy', 8], ['6.2.a_d_ab_c_b_a', '6.256.ck_cer_wbn_afjpm_argkxd_apadfwy', 8], ['6.2.a_d_b_c_ab_a', '6.256.ck_cer_wbn_afjpm_argkxd_apadfwy', 8], ['6.2.a_j_ab_bm_af_ds', '6.256.ck_cer_wbn_afjpm_argkxd_apadfwy', 8], ['6.2.a_j_b_bm_f_ds', '6.256.ck_cer_wbn_afjpm_argkxd_apadfwy', 8], ['6.2.c_f_f_e_ad_ai', '6.256.ck_cer_wbn_afjpm_argkxd_apadfwy', 8], ['6.2.c_l_p_bw_bx_eq', '6.256.ck_cer_wbn_afjpm_argkxd_apadfwy', 8], ['6.2.c_l_r_ca_cl_fg', '6.256.ck_cer_wbn_afjpm_argkxd_apadfwy', 8], ['6.2.e_r_bp_du_gj_km', '6.256.ck_cer_wbn_afjpm_argkxd_apadfwy', 8], ['6.2.af_p_abh_cj_adx_fu', '6.4096.md_dccw_ohlte_bzgrqxh_fxcwfaax_pjrefrkxk', 12], ['6.2.ad_h_ap_bd_abv_co', '6.4096.md_dccw_ohlte_bzgrqxh_fxcwfaax_pjrefrkxk', 12], ['6.2.ad_h_an_x_abp_ck', '6.4096.md_dccw_ohlte_bzgrqxh_fxcwfaax_pjrefrkxk', 12], ['6.2.ad_h_af_ab_x_abi', '6.4096.md_dccw_ohlte_bzgrqxh_fxcwfaax_pjrefrkxk', 12], ['6.2.ab_d_ah_l_at_ba', '6.4096.md_dccw_ohlte_bzgrqxh_fxcwfaax_pjrefrkxk', 12], ['6.2.ab_d_af_j_ar_s', '6.4096.md_dccw_ohlte_bzgrqxh_fxcwfaax_pjrefrkxk', 12], ['6.2.ab_d_b_d_n_ag', '6.4096.md_dccw_ohlte_bzgrqxh_fxcwfaax_pjrefrkxk', 12], ['6.2.ab_d_d_b_l_g', '6.4096.md_dccw_ohlte_bzgrqxh_fxcwfaax_pjrefrkxk', 12], ['6.2.b_d_ad_b_al_g', '6.4096.md_dccw_ohlte_bzgrqxh_fxcwfaax_pjrefrkxk', 12], ['6.2.b_d_ab_d_an_ag', '6.4096.md_dccw_ohlte_bzgrqxh_fxcwfaax_pjrefrkxk', 12], ['6.2.b_d_f_j_r_s', '6.4096.md_dccw_ohlte_bzgrqxh_fxcwfaax_pjrefrkxk', 12], ['6.2.b_d_h_l_t_ba', '6.4096.md_dccw_ohlte_bzgrqxh_fxcwfaax_pjrefrkxk', 12], ['6.2.d_h_f_ab_ax_abi', '6.4096.md_dccw_ohlte_bzgrqxh_fxcwfaax_pjrefrkxk', 12], ['6.2.d_h_n_x_bp_ck', '6.4096.md_dccw_ohlte_bzgrqxh_fxcwfaax_pjrefrkxk', 12], ['6.2.d_h_p_bd_bv_co', '6.4096.md_dccw_ohlte_bzgrqxh_fxcwfaax_pjrefrkxk', 12], ['6.2.f_p_bh_cj_dx_fu', '6.4096.md_dccw_ohlte_bzgrqxh_fxcwfaax_pjrefrkxk', 12], ['6.2.ad_j_at_bj_ach_dg', '6.16777216.nlj_deipug_afcpgcgbi_aephgfurqsvb_azxgzutlywxkxl_acjmfulloufmwxahs', 24], ['6.2.ab_f_aj_p_abd_bk', '6.16777216.nlj_deipug_afcpgcgbi_aephgfurqsvb_azxgzutlywxkxl_acjmfulloufmwxahs', 24], ['6.2.ab_f_ah_n_abb_bc', '6.16777216.nlj_deipug_afcpgcgbi_aephgfurqsvb_azxgzutlywxkxl_acjmfulloufmwxahs', 24], ['6.2.ab_f_b_f_v_ae', '6.16777216.nlj_deipug_afcpgcgbi_aephgfurqsvb_azxgzutlywxkxl_acjmfulloufmwxahs', 24], ['6.2.b_f_ab_f_av_ae', '6.16777216.nlj_deipug_afcpgcgbi_aephgfurqsvb_azxgzutlywxkxl_acjmfulloufmwxahs', 24], ['6.2.b_f_h_n_bb_bc', '6.16777216.nlj_deipug_afcpgcgbi_aephgfurqsvb_azxgzutlywxkxl_acjmfulloufmwxahs', 24], ['6.2.b_f_j_p_bd_bk', '6.16777216.nlj_deipug_afcpgcgbi_aephgfurqsvb_azxgzutlywxkxl_acjmfulloufmwxahs', 24], ['6.2.d_j_t_bj_ch_dg', '6.16777216.nlj_deipug_afcpgcgbi_aephgfurqsvb_azxgzutlywxkxl_acjmfulloufmwxahs', 24], ['6.2.ah_bc_adc_gy_amv_tu', '6.268435456.etas_jukrmxd_jxcnirvukt_baignubozkxti_aldzwcyltbkiwnadl_apzajqkclurmkpwpziua', 28], ['6.2.ag_s_abk_ch_adn_fe', '6.268435456.etas_jukrmxd_jxcnirvukt_baignubozkxti_aldzwcyltbkiwnadl_apzajqkclurmkpwpziua', 28], ['6.2.af_q_abm_cw_aev_he', '6.268435456.etas_jukrmxd_jxcnirvukt_baignubozkxti_aldzwcyltbkiwnadl_apzajqkclurmkpwpziua', 28], ['6.2.ae_i_am_v_abn_ck', '6.268435456.etas_jukrmxd_jxcnirvukt_baignubozkxti_aldzwcyltbkiwnadl_apzajqkclurmkpwpziua', 28], ['6.2.ad_i_aq_bc_abt_ck', '6.268435456.etas_jukrmxd_jxcnirvukt_baignubozkxti_aldzwcyltbkiwnadl_apzajqkclurmkpwpziua', 28], ['6.2.ac_c_ae_l_ap_s', '6.268435456.etas_jukrmxd_jxcnirvukt_baignubozkxti_aldzwcyltbkiwnadl_apzajqkclurmkpwpziua', 28], ['6.2.ab_e_ag_k_av_w', '6.268435456.etas_jukrmxd_jxcnirvukt_baignubozkxti_aldzwcyltbkiwnadl_apzajqkclurmkpwpziua', 28], ['6.2.a_a_ae_f_ad_k', '6.268435456.etas_jukrmxd_jxcnirvukt_baignubozkxti_aldzwcyltbkiwnadl_apzajqkclurmkpwpziua', 28], ['6.2.a_a_e_f_d_k', '6.268435456.etas_jukrmxd_jxcnirvukt_baignubozkxti_aldzwcyltbkiwnadl_apzajqkclurmkpwpziua', 28], ['6.2.b_e_g_k_v_w', '6.268435456.etas_jukrmxd_jxcnirvukt_baignubozkxti_aldzwcyltbkiwnadl_apzajqkclurmkpwpziua', 28], ['6.2.c_c_e_l_p_s', '6.268435456.etas_jukrmxd_jxcnirvukt_baignubozkxti_aldzwcyltbkiwnadl_apzajqkclurmkpwpziua', 28], ['6.2.d_i_q_bc_bt_ck', '6.268435456.etas_jukrmxd_jxcnirvukt_baignubozkxti_aldzwcyltbkiwnadl_apzajqkclurmkpwpziua', 28], ['6.2.e_i_m_v_bn_ck', '6.268435456.etas_jukrmxd_jxcnirvukt_baignubozkxti_aldzwcyltbkiwnadl_apzajqkclurmkpwpziua', 28], ['6.2.f_q_bm_cw_ev_he', '6.268435456.etas_jukrmxd_jxcnirvukt_baignubozkxti_aldzwcyltbkiwnadl_apzajqkclurmkpwpziua', 28], ['6.2.g_s_bk_ch_dn_fe', '6.268435456.etas_jukrmxd_jxcnirvukt_baignubozkxti_aldzwcyltbkiwnadl_apzajqkclurmkpwpziua', 28], ['6.2.h_bc_dc_gy_mv_tu', '6.268435456.etas_jukrmxd_jxcnirvukt_baignubozkxti_aldzwcyltbkiwnadl_apzajqkclurmkpwpziua', 28], ['6.2.af_s_abw_ea_ahh_lc', '6.72057594037927936.acvifisg_eeztdqfnbfcyr_aeiwpafocvtoqmaodbiv_cmkwzjoeavnowhwwmdjandpzu_aimrazlncakebitnmvxhgscllxbcdzl_ailmqyvoymyganwehgdtjfyovcxlyyfpuoojo', 56], ['6.2.ae_k_au_bj_acb_cy', '6.72057594037927936.acvifisg_eeztdqfnbfcyr_aeiwpafocvtoqmaodbiv_cmkwzjoeavnowhwwmdjandpzu_aimrazlncakebitnmvxhgscllxbcdzl_ailmqyvoymyganwehgdtjfyovcxlyyfpuoojo', 56], ['6.2.ad_k_aw_bq_acv_ea', '6.72057594037927936.acvifisg_eeztdqfnbfcyr_aeiwpafocvtoqmaodbiv_cmkwzjoeavnowhwwmdjandpzu_aimrazlncakebitnmvxhgscllxbcdzl_ailmqyvoymyganwehgdtjfyovcxlyyfpuoojo', 56], ['6.2.ac_e_ai_n_av_bk', '6.72057594037927936.acvifisg_eeztdqfnbfcyr_aeiwpafocvtoqmaodbiv_cmkwzjoeavnowhwwmdjandpzu_aimrazlncakebitnmvxhgscllxbcdzl_ailmqyvoymyganwehgdtjfyovcxlyyfpuoojo', 56], ['6.2.c_e_i_n_v_bk', '6.72057594037927936.acvifisg_eeztdqfnbfcyr_aeiwpafocvtoqmaodbiv_cmkwzjoeavnowhwwmdjandpzu_aimrazlncakebitnmvxhgscllxbcdzl_ailmqyvoymyganwehgdtjfyovcxlyyfpuoojo', 56], ['6.2.d_k_w_bq_cv_ea', '6.72057594037927936.acvifisg_eeztdqfnbfcyr_aeiwpafocvtoqmaodbiv_cmkwzjoeavnowhwwmdjandpzu_aimrazlncakebitnmvxhgscllxbcdzl_ailmqyvoymyganwehgdtjfyovcxlyyfpuoojo', 56], ['6.2.e_k_u_bj_cb_cy', '6.72057594037927936.acvifisg_eeztdqfnbfcyr_aeiwpafocvtoqmaodbiv_cmkwzjoeavnowhwwmdjandpzu_aimrazlncakebitnmvxhgscllxbcdzl_ailmqyvoymyganwehgdtjfyovcxlyyfpuoojo', 56], ['6.2.f_s_bw_ea_hh_lc', '6.72057594037927936.acvifisg_eeztdqfnbfcyr_aeiwpafocvtoqmaodbiv_cmkwzjoeavnowhwwmdjandpzu_aimrazlncakebitnmvxhgscllxbcdzl_ailmqyvoymyganwehgdtjfyovcxlyyfpuoojo', 56]]}
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av_fq_endalg_factors • Show schema
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id: 4043373
{'base_label': '6.2.ac_d_ad_e_b_ag', 'extension_degree': 1, 'extension_label': '1.2.ac', 'multiplicity': 1}
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id: 4043374
{'base_label': '6.2.ac_d_ad_e_b_ag', 'extension_degree': 1, 'extension_label': '1.2.b', 'multiplicity': 1}
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id: 4043375
{'base_label': '6.2.ac_d_ad_e_b_ag', 'extension_degree': 1, 'extension_label': '2.2.ab_d', 'multiplicity': 1}
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id: 4043376
{'base_label': '6.2.ac_d_ad_e_b_ag', 'extension_degree': 1, 'extension_label': '2.2.a_ad', 'multiplicity': 1}
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id: 4043377
{'base_label': '6.2.ac_d_ad_e_b_ag', 'extension_degree': 2, 'extension_label': '1.4.ad', 'multiplicity': 2}
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id: 4043378
{'base_label': '6.2.ac_d_ad_e_b_ag', 'extension_degree': 2, 'extension_label': '1.4.a', 'multiplicity': 1}
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id: 4043379
{'base_label': '6.2.ac_d_ad_e_b_ag', 'extension_degree': 2, 'extension_label': '1.4.d', 'multiplicity': 1}
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id: 4043380
{'base_label': '6.2.ac_d_ad_e_b_ag', 'extension_degree': 2, 'extension_label': '2.4.f_n', 'multiplicity': 1}
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id: 4043381
{'base_label': '6.2.ac_d_ad_e_b_ag', 'extension_degree': 4, 'extension_label': '1.16.ab', 'multiplicity': 3}
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id: 4043382
{'base_label': '6.2.ac_d_ad_e_b_ag', 'extension_degree': 4, 'extension_label': '1.16.i', 'multiplicity': 1}
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id: 4043383
{'base_label': '6.2.ac_d_ad_e_b_ag', 'extension_degree': 4, 'extension_label': '2.16.b_b', 'multiplicity': 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': '1.2.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', '0'], 'center': '4.0.1025.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.2.ab_d', 'galois_group': '4T3', 'places': [['1', '3/2', '3/2', '1/2'], ['0', '1', '0', '0']]}
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av_fq_endalg_data • Show schema
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id: 6316
{'brauer_invariants': ['0', '0'], 'center': '4.0.784.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.2.a_ad', 'galois_group': '4T2', 'places': [['1', '1', '0', '0'], ['1', '1/2', '1', '3/2']]}
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id: 1239100
{'brauer_invariants': ['0', '0'], 'center': '4.0.784.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.2.a_ad', 'galois_group': '4T2', 'places': [['1', '1', '0', '0'], ['1', '3/2', '0', '3/2']]}
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id: 2357051
{'brauer_invariants': ['0', '0'], 'center': '4.0.784.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.2.a_ad', 'galois_group': '4T2', 'places': [['1', '1', '0', '0'], ['1', '1/2', '0', '1/2']]}
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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.ad', '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': '4.0.1025.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.4.f_n', 'galois_group': '4T3', 'places': [['1', '3/2', '3/2', '1/2'], ['0', '1', '0', '0']]}
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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']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '4.0.1025.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.16.b_b', 'galois_group': '4T3', 'places': [['0', '1', '0', '0'], ['1', '3/2', '3/2', '1/2']]}