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av_fq_isog • Show schema
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{'abvar_count': 1, 'abvar_counts': [1, 551, 22876, 1393479, 33501421, 2168004272, 63138363688, 1149554681487, 39154418373364, 1183443090553781], 'abvar_counts_str': '1 551 22876 1393479 33501421 2168004272 63138363688 1149554681487 39154418373364 1183443090553781 ', 'all_polarized_product': True, 'all_unpolarized_product': True, 'angle_corank': 3, 'angle_rank': 2, 'angles': [0.0992589862044063, 0.123548644960916, 0.186455299509879, 0.45688197829425, 0.757883870938451], 'center_dim': 10, 'cohen_macaulay_max': 1, 'curve_count': -3, 'curve_counts': [-3, 1, 3, 21, 32, 109, 207, 269, 570, 1076], 'curve_counts_str': '-3 1 3 21 32 109 207 269 570 1076 ', 'curves': [''], 'dim1_distinct': 0, 'dim1_factors': 0, 'dim2_distinct': 1, 'dim2_factors': 1, 'dim3_distinct': 1, 'dim3_factors': 1, 'dim4_distinct': 0, 'dim4_factors': 0, 'dim5_distinct': 0, 'dim5_factors': 0, 'endomorphism_ring_count': 1, 'g': 5, 'galois_groups': ['4T2', '6T1'], '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': 4, 'geometric_extension_degree': 42, 'geometric_galois_groups': ['2T1', '2T1'], 'geometric_number_fields': ['2.0.15.1', '2.0.7.1'], 'geometric_splitting_field': '4.0.11025.2', 'geometric_splitting_polynomials': [[4, 0, 11, 0, 1]], 'group_structure_count': 1, 'has_geom_ss_factor': False, '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': True, 'is_supersingular': False, 'jacobian_count': 0, 'label': '5.2.ag_q_aba_bh_abr', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 84, 'newton_coelevation': 9, 'newton_elevation': 0, 'noncyclic_primes': [], 'number_fields': ['4.0.225.1', '6.0.16807.1'], 'p': 2, 'p_rank': 5, 'p_rank_deficit': 0, 'pic_prime_gens': [], 'poly': [1, -6, 16, -26, 33, -43, 66, -104, 128, -96, 32], 'poly_str': '1 -6 16 -26 33 -43 66 -104 128 -96 32 ', 'primitive_models': [], 'principal_polarization_count': 1, 'q': 2, 'real_poly': [1, -6, 6, 22, -43, 13], 'simple_distinct': ['2.2.ad_f', '3.2.ad_c_b'], 'simple_factors': ['2.2.ad_fA', '3.2.ad_c_bA'], 'simple_multiplicities': [1, 1], 'singular_primes': [], 'size': 1, 'slopes': ['0A', '0B', '0C', '0D', '0E', '1A', '1B', '1C', '1D', '1E'], 'splitting_field': '24.0.10352754344108696148301025390625.1', 'splitting_polynomials': [[1, 1, -1, -4, -4, 4, 17, -12, -46, -43, 44, 188, 189, -188, 44, 43, -46, 12, 17, -4, -4, 4, -1, -1, 1]], 'twist_count': 56, 'twists': [['5.2.a_ac_ac_d_f', '5.4.ae_k_ae_abb_ed', 2], ['5.2.a_ac_c_d_af', '5.4.ae_k_ae_abb_ed', 2], ['5.2.g_q_ba_bh_br', '5.4.ae_k_ae_abb_ed', 2], ['5.2.ad_b_e_g_az', '5.8.ag_bo_aft_xr_acmr', 3], ['5.2.a_ac_ac_d_f', '5.8.ag_bo_aft_xr_acmr', 3], ['5.2.d_b_ae_g_z', '5.64.bs_boc_yrb_lgax_dyaot', 6], ['5.2.ag_x_acj_eu_ahp', '5.128.da_enf_ejln_czsrc_bneybn', 7], ['5.2.b_c_c_ac_ab', '5.128.da_enf_ejln_czsrc_bneybn', 7], ['5.2.ad_d_ac_k_ax', '5.4096.fs_uoo_cklcl_fwagbv_mvnscxb', 12], ['5.2.d_d_c_k_x', '5.4096.fs_uoo_cklcl_fwagbv_mvnscxb', 12], ['5.2.ah_ba_acq_fg_aih', '5.16384.k_dajd_abrwob_eosgouo_acrqrszsz', 14], ['5.2.ae_n_abd_cc_adf', '5.16384.k_dajd_abrwob_eosgouo_acrqrszsz', 14], ['5.2.ac_h_an_y_abl', '5.16384.k_dajd_abrwob_eosgouo_acrqrszsz', 14], ['5.2.ab_c_ac_ac_b', '5.16384.k_dajd_abrwob_eosgouo_acrqrszsz', 14], ['5.2.a_f_af_k_at', '5.16384.k_dajd_abrwob_eosgouo_acrqrszsz', 14], ['5.2.a_f_f_k_t', '5.16384.k_dajd_abrwob_eosgouo_acrqrszsz', 14], ['5.2.c_h_n_y_bl', '5.16384.k_dajd_abrwob_eosgouo_acrqrszsz', 14], ['5.2.e_n_bd_cc_df', '5.16384.k_dajd_abrwob_eosgouo_acrqrszsz', 14], ['5.2.g_x_cj_eu_hp', '5.16384.k_dajd_abrwob_eosgouo_acrqrszsz', 14], ['5.2.h_ba_cq_fg_ih', '5.16384.k_dajd_abrwob_eosgouo_acrqrszsz', 14], ['5.2.ad_f_ab_al_z', '5.2097152.amkn_curdus_akswxztna_bfillfayhxp_acwcdkhjpuyyon', 21], ['5.2.ad_i_ak_n_al', '5.2097152.amkn_curdus_akswxztna_bfillfayhxp_acwcdkhjpuyyon', 21], ['5.2.a_ab_f_e_af', '5.2097152.amkn_curdus_akswxztna_bfillfayhxp_acwcdkhjpuyyon', 21], ['5.2.a_f_f_k_t', '5.2097152.amkn_curdus_akswxztna_bfillfayhxp_acwcdkhjpuyyon', 21], ['5.2.d_f_l_t_z', '5.2097152.amkn_curdus_akswxztna_bfillfayhxp_acwcdkhjpuyyon', 21], ['5.2.e_i_l_n_r', '5.2097152.amkn_curdus_akswxztna_bfillfayhxp_acwcdkhjpuyyon', 21], ['5.2.h_ba_cq_fg_ih', '5.2097152.amkn_curdus_akswxztna_bfillfayhxp_acwcdkhjpuyyon', 21], ['5.2.ae_h_af_ag_t', '5.268435456.gaok_sgvbrmf_bjzyfbdaast_bzbvzoxhfbvppq_ccndbhwggsmezowyx', 28], ['5.2.ac_b_ab_a_f', '5.268435456.gaok_sgvbrmf_bjzyfbdaast_bzbvzoxhfbvppq_ccndbhwggsmezowyx', 28], ['5.2.c_b_b_a_af', '5.268435456.gaok_sgvbrmf_bjzyfbdaast_bzbvzoxhfbvppq_ccndbhwggsmezowyx', 28], ['5.2.e_h_f_ag_at', '5.268435456.gaok_sgvbrmf_bjzyfbdaast_bzbvzoxhfbvppq_ccndbhwggsmezowyx', 28], ['5.2.af_n_az_bn_acd', '5.4398046511104.ainyrd_akdmekyhak_kkxqsxretbdiyo_seyftgjlowghsrnvbp_aokblkcoxiwwwoydvwaribmf', 42], ['5.2.ae_i_al_n_ar', '5.4398046511104.ainyrd_akdmekyhak_kkxqsxretbdiyo_seyftgjlowghsrnvbp_aokblkcoxiwwwoydvwaribmf', 42], ['5.2.ad_f_al_t_az', '5.4398046511104.ainyrd_akdmekyhak_kkxqsxretbdiyo_seyftgjlowghsrnvbp_aokblkcoxiwwwoydvwaribmf', 42], ['5.2.ac_b_ab_g_an', '5.4398046511104.ainyrd_akdmekyhak_kkxqsxretbdiyo_seyftgjlowghsrnvbp_aokblkcoxiwwwoydvwaribmf', 42], ['5.2.ab_b_b_ad_h', '5.4398046511104.ainyrd_akdmekyhak_kkxqsxretbdiyo_seyftgjlowghsrnvbp_aokblkcoxiwwwoydvwaribmf', 42], ['5.2.ab_e_ac_j_af', '5.4398046511104.ainyrd_akdmekyhak_kkxqsxretbdiyo_seyftgjlowghsrnvbp_aokblkcoxiwwwoydvwaribmf', 42], ['5.2.a_ab_af_e_f', '5.4398046511104.ainyrd_akdmekyhak_kkxqsxretbdiyo_seyftgjlowghsrnvbp_aokblkcoxiwwwoydvwaribmf', 42], ['5.2.b_b_ab_ad_ah', '5.4398046511104.ainyrd_akdmekyhak_kkxqsxretbdiyo_seyftgjlowghsrnvbp_aokblkcoxiwwwoydvwaribmf', 42], ['5.2.b_e_c_j_f', '5.4398046511104.ainyrd_akdmekyhak_kkxqsxretbdiyo_seyftgjlowghsrnvbp_aokblkcoxiwwwoydvwaribmf', 42], ['5.2.c_b_b_g_n', '5.4398046511104.ainyrd_akdmekyhak_kkxqsxretbdiyo_seyftgjlowghsrnvbp_aokblkcoxiwwwoydvwaribmf', 42], ['5.2.d_f_b_al_az', '5.4398046511104.ainyrd_akdmekyhak_kkxqsxretbdiyo_seyftgjlowghsrnvbp_aokblkcoxiwwwoydvwaribmf', 42], ['5.2.d_i_k_n_l', '5.4398046511104.ainyrd_akdmekyhak_kkxqsxretbdiyo_seyftgjlowghsrnvbp_aokblkcoxiwwwoydvwaribmf', 42], ['5.2.f_n_z_bn_cd', '5.4398046511104.ainyrd_akdmekyhak_kkxqsxretbdiyo_seyftgjlowghsrnvbp_aokblkcoxiwwwoydvwaribmf', 42], ['5.2.ae_k_at_bf_abv', '5.19342813113834066795298816.adpdplexizd_ikfubpkncmlixxynagg_anaxmcbwzkmnfcpsersmjvoxqbgqk_praaexmfisdrqpsewcagagjrmyftnbfbguprp_aofglsroheazujkmwdmhcnyzwykuoorsgnxdjtjfyilgxyv', 84], ['5.2.ad_k_aq_bf_abl', '5.19342813113834066795298816.adpdplexizd_ikfubpkncmlixxynagg_anaxmcbwzkmnfcpsersmjvoxqbgqk_praaexmfisdrqpsewcagagjrmyftnbfbguprp_aofglsroheazujkmwdmhcnyzwykuoorsgnxdjtjfyilgxyv', 84], ['5.2.ac_d_af_k_at', '5.19342813113834066795298816.adpdplexizd_ikfubpkncmlixxynagg_anaxmcbwzkmnfcpsersmjvoxqbgqk_praaexmfisdrqpsewcagagjrmyftnbfbguprp_aofglsroheazujkmwdmhcnyzwykuoorsgnxdjtjfyilgxyv', 84], ['5.2.ab_ac_e_d_al', '5.19342813113834066795298816.adpdplexizd_ikfubpkncmlixxynagg_anaxmcbwzkmnfcpsersmjvoxqbgqk_praaexmfisdrqpsewcagagjrmyftnbfbguprp_aofglsroheazujkmwdmhcnyzwykuoorsgnxdjtjfyilgxyv', 84], ['5.2.ab_a_c_b_af', '5.19342813113834066795298816.adpdplexizd_ikfubpkncmlixxynagg_anaxmcbwzkmnfcpsersmjvoxqbgqk_praaexmfisdrqpsewcagagjrmyftnbfbguprp_aofglsroheazujkmwdmhcnyzwykuoorsgnxdjtjfyilgxyv', 84], ['5.2.ab_g_ae_t_al', '5.19342813113834066795298816.adpdplexizd_ikfubpkncmlixxynagg_anaxmcbwzkmnfcpsersmjvoxqbgqk_praaexmfisdrqpsewcagagjrmyftnbfbguprp_aofglsroheazujkmwdmhcnyzwykuoorsgnxdjtjfyilgxyv', 84], ['5.2.a_b_af_e_af', '5.19342813113834066795298816.adpdplexizd_ikfubpkncmlixxynagg_anaxmcbwzkmnfcpsersmjvoxqbgqk_praaexmfisdrqpsewcagagjrmyftnbfbguprp_aofglsroheazujkmwdmhcnyzwykuoorsgnxdjtjfyilgxyv', 84], ['5.2.a_b_f_e_f', '5.19342813113834066795298816.adpdplexizd_ikfubpkncmlixxynagg_anaxmcbwzkmnfcpsersmjvoxqbgqk_praaexmfisdrqpsewcagagjrmyftnbfbguprp_aofglsroheazujkmwdmhcnyzwykuoorsgnxdjtjfyilgxyv', 84], ['5.2.b_ac_ae_d_l', '5.19342813113834066795298816.adpdplexizd_ikfubpkncmlixxynagg_anaxmcbwzkmnfcpsersmjvoxqbgqk_praaexmfisdrqpsewcagagjrmyftnbfbguprp_aofglsroheazujkmwdmhcnyzwykuoorsgnxdjtjfyilgxyv', 84], ['5.2.b_a_ac_b_f', '5.19342813113834066795298816.adpdplexizd_ikfubpkncmlixxynagg_anaxmcbwzkmnfcpsersmjvoxqbgqk_praaexmfisdrqpsewcagagjrmyftnbfbguprp_aofglsroheazujkmwdmhcnyzwykuoorsgnxdjtjfyilgxyv', 84], ['5.2.b_g_e_t_l', '5.19342813113834066795298816.adpdplexizd_ikfubpkncmlixxynagg_anaxmcbwzkmnfcpsersmjvoxqbgqk_praaexmfisdrqpsewcagagjrmyftnbfbguprp_aofglsroheazujkmwdmhcnyzwykuoorsgnxdjtjfyilgxyv', 84], ['5.2.c_d_f_k_t', '5.19342813113834066795298816.adpdplexizd_ikfubpkncmlixxynagg_anaxmcbwzkmnfcpsersmjvoxqbgqk_praaexmfisdrqpsewcagagjrmyftnbfbguprp_aofglsroheazujkmwdmhcnyzwykuoorsgnxdjtjfyilgxyv', 84], ['5.2.d_k_q_bf_bl', '5.19342813113834066795298816.adpdplexizd_ikfubpkncmlixxynagg_anaxmcbwzkmnfcpsersmjvoxqbgqk_praaexmfisdrqpsewcagagjrmyftnbfbguprp_aofglsroheazujkmwdmhcnyzwykuoorsgnxdjtjfyilgxyv', 84], ['5.2.e_k_t_bf_bv', '5.19342813113834066795298816.adpdplexizd_ikfubpkncmlixxynagg_anaxmcbwzkmnfcpsersmjvoxqbgqk_praaexmfisdrqpsewcagagjrmyftnbfbguprp_aofglsroheazujkmwdmhcnyzwykuoorsgnxdjtjfyilgxyv', 84]], 'weak_equivalence_count': 1, 'zfv_index': 1, 'zfv_index_factorization': [], 'zfv_is_bass': True, 'zfv_is_maximal': True, 'zfv_pic_size': 1, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 63, 'zfv_singular_count': 0, 'zfv_singular_primes': []}
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av_fq_endalg_factors • Show schema
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id: 2902761
{'base_label': '5.2.ag_q_aba_bh_abr', 'extension_degree': 1, 'extension_label': '2.2.ad_f', 'multiplicity': 1}
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id: 2902762
{'base_label': '5.2.ag_q_aba_bh_abr', 'extension_degree': 1, 'extension_label': '3.2.ad_c_b', 'multiplicity': 1}
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id: 2902763
{'base_label': '5.2.ag_q_aba_bh_abr', 'extension_degree': 2, 'extension_label': '2.4.b_ad', 'multiplicity': 1}
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id: 2902764
{'base_label': '5.2.ag_q_aba_bh_abr', 'extension_degree': 2, 'extension_label': '3.4.af_s_abp', 'multiplicity': 1}
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id: 2902765
{'base_label': '5.2.ag_q_aba_bh_abr', 'extension_degree': 3, 'extension_label': '2.8.a_l', 'multiplicity': 1}
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id: 2902766
{'base_label': '5.2.ag_q_aba_bh_abr', 'extension_degree': 3, 'extension_label': '3.8.ag_bd_adf', 'multiplicity': 1}
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id: 2902767
{'base_label': '5.2.ag_q_aba_bh_abr', 'extension_degree': 6, 'extension_label': '1.64.l', 'multiplicity': 2}
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id: 2902768
{'base_label': '5.2.ag_q_aba_bh_abr', 'extension_degree': 6, 'extension_label': '3.64.w_lx_ekt', 'multiplicity': 1}
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id: 2902769
{'base_label': '5.2.ag_q_aba_bh_abr', 'extension_degree': 7, 'extension_label': '1.128.n', 'multiplicity': 3}
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id: 2902770
{'base_label': '5.2.ag_q_aba_bh_abr', 'extension_degree': 7, 'extension_label': '2.128.bn_yl', 'multiplicity': 1}
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id: 2902771
{'base_label': '5.2.ag_q_aba_bh_abr', 'extension_degree': 14, 'extension_label': '1.16384.dj', 'multiplicity': 3}
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id: 2902772
{'base_label': '5.2.ag_q_aba_bh_abr', 'extension_degree': 14, 'extension_label': '2.16384.ajr_cqyz', 'multiplicity': 1}
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id: 2902773
{'base_label': '5.2.ag_q_aba_bh_abr', 'extension_degree': 21, 'extension_label': '1.2097152.aedn', 'multiplicity': 3}
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id: 2902774
{'base_label': '5.2.ag_q_aba_bh_abr', 'extension_degree': 21, 'extension_label': '2.2097152.a_hpued', 'multiplicity': 1}
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id: 2902775
{'base_label': '5.2.ag_q_aba_bh_abr', 'extension_degree': 42, 'extension_label': '1.4398046511104.ahxvrd', 'multiplicity': 3}
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id: 2902776
{'base_label': '5.2.ag_q_aba_bh_abr', 'extension_degree': 42, 'extension_label': '1.4398046511104.hpued', 'multiplicity': 2}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '4.0.225.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.2.ad_f', 'galois_group': '4T2', 'places': [['1/2', '0', '1', '1/2'], ['1', '1', '0', '0']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '6.0.16807.1', 'center_dim': 6, 'divalg_dim': 1, 'extension_label': '3.2.ad_c_b', 'galois_group': '6T1', 'places': [['1', '0', '1', '1', '0', '0'], ['1', '1', '0', '1', '0', '0']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '4.0.225.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.4.b_ad', 'galois_group': '4T2', 'places': [['1/2', '0', '1', '1/2'], ['1', '1', '0', '0']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '6.0.16807.1', 'center_dim': 6, 'divalg_dim': 1, 'extension_label': '3.4.af_s_abp', 'galois_group': '6T1', 'places': [['1', '0', '1', '1', '0', '0'], ['1', '1', '0', '1', '0', '0']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '4.0.225.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.8.a_l', 'galois_group': '4T2', 'places': [['1', '1', '0', '0'], ['1/2', '0', '1', '1/2']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '6.0.16807.1', 'center_dim': 6, 'divalg_dim': 1, 'extension_label': '3.8.ag_bd_adf', 'galois_group': '6T1', 'places': [['1', '1', '0', '1', '0', '0'], ['1', '0', '1', '1', '0', '0']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.15.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.64.l', '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': '6.0.16807.1', 'center_dim': 6, 'divalg_dim': 1, 'extension_label': '3.64.w_lx_ekt', 'galois_group': '6T1', 'places': [['1', '1', '0', '1', '0', '0'], ['1', '0', '1', '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': '1.128.n', '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': '4.0.225.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.128.bn_yl', 'galois_group': '4T2', 'places': [['1/2', '0', '1', '1/2'], ['1', '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': '1.16384.dj', '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': '4.0.225.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.16384.ajr_cqyz', 'galois_group': '4T2', 'places': [['1/2', '0', '1', '1/2'], ['1', '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': '1.2097152.aedn', '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': '4.0.225.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.2097152.a_hpued', 'galois_group': '4T2', 'places': [['1/2', '0', '1', '1/2'], ['1', '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': '1.4398046511104.ahxvrd', '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': '2.0.15.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.4398046511104.hpued', 'galois_group': '2T1', 'places': [['1', '1'], ['0', '1']]}