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av_fq_isog • Show schema
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{'abvar_count': 2, 'abvar_counts': [2, 2300, 51038, 3910000, 72017402, 763018100, 26336547722, 1076814000000, 34196345458262, 1244370684807500], 'abvar_counts_str': '2 2300 51038 3910000 72017402 763018100 26336547722 1076814000000 34196345458262 1244370684807500 ', 'angle_corank': 2, 'angle_rank': 3, 'angles': [0.105278500938958, 0.25, 0.25, 0.316838792567905, 0.641249159630546], 'center_dim': 8, 'curve_count': -4, 'curve_counts': [-4, 6, 14, 38, 56, 42, 94, 254, 500, 1126], 'curve_counts_str': '-4 6 14 38 56 42 94 254 500 1126 ', 'curves': [''], 'dim1_distinct': 1, 'dim1_factors': 2, 'dim2_distinct': 0, 'dim2_factors': 0, 'dim3_distinct': 1, 'dim3_factors': 1, 'dim4_distinct': 0, 'dim4_factors': 0, 'dim5_distinct': 0, 'dim5_factors': 0, 'g': 5, 'galois_groups': ['2T1', '6T11'], 'geom_dim1_distinct': 1, 'geom_dim1_factors': 2, 'geom_dim2_distinct': 0, 'geom_dim2_factors': 0, 'geom_dim3_distinct': 1, 'geom_dim3_factors': 1, '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', '6T11'], 'geometric_number_fields': ['1.1.1.1', '6.0.679024.1'], 'geometric_splitting_field': '6.0.25123888.1', 'geometric_splitting_polynomials': [[25, -31, 42, -23, 14, -3, 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': False, 'is_supersingular': False, 'jacobian_count': 0, 'label': '5.2.ah_z_ach_ec_age', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 4, 'max_twist_degree': 24, 'newton_coelevation': 7, 'newton_elevation': 2, 'number_fields': ['2.0.4.1', '6.0.679024.1'], 'p': 2, 'p_rank': 3, 'p_rank_deficit': 2, 'poly': [1, -7, 25, -59, 106, -160, 212, -236, 200, -112, 32], 'poly_str': '1 -7 25 -59 106 -160 212 -236 200 -112 32 ', 'primitive_models': [], 'q': 2, 'real_poly': [1, -7, 15, -3, -24, 20], 'simple_distinct': ['1.2.ac', '3.2.ad_f_ah'], 'simple_factors': ['1.2.acA', '1.2.acB', '3.2.ad_f_ahA'], 'simple_multiplicities': [2, 1], 'slopes': ['0A', '0B', '0C', '1/2A', '1/2B', '1/2C', '1/2D', '1A', '1B', '1C'], 'splitting_field': '12.0.118034839699456.1', 'splitting_polynomials': [[64, -128, 128, -80, 48, -40, 34, -20, 12, -10, 8, -4, 1]], 'twist_count': 22, 'twists': [['5.2.ad_f_ah_o_ay', '5.4.b_l_d_ca_ai', 2], ['5.2.ab_b_d_c_a', '5.4.b_l_d_ca_ai', 2], ['5.2.b_b_ad_c_a', '5.4.b_l_d_ca_ai', 2], ['5.2.d_f_h_o_y', '5.4.b_l_d_ca_ai', 2], ['5.2.h_z_ch_ec_ge', '5.4.b_l_d_ca_ai', 2], ['5.2.ab_b_b_ac_c', '5.8.f_b_abp_abg_iq', 3], ['5.2.h_z_ch_ec_ge', '5.16.v_il_cih_mui_cerg', 4], ['5.2.af_n_abb_by_ada', '5.64.ax_nj_agqz_cqgu_awaui', 6], ['5.2.b_b_ab_ac_ac', '5.64.ax_nj_agqz_cqgu_awaui', 6], ['5.2.f_n_bb_by_da', '5.64.ax_nj_agqz_cqgu_awaui', 6], ['5.2.af_p_abh_ci_ado', '5.256.ad_awb_afcz_frkq_dlkls', 8], ['5.2.ad_b_f_ag_e', '5.256.ad_awb_afcz_frkq_dlkls', 8], ['5.2.ad_j_at_bi_aca', '5.256.ad_awb_afcz_frkq_dlkls', 8], ['5.2.ab_d_af_i_am', '5.256.ad_awb_afcz_frkq_dlkls', 8], ['5.2.b_d_f_i_m', '5.256.ad_awb_afcz_frkq_dlkls', 8], ['5.2.d_b_af_ag_ae', '5.256.ad_awb_afcz_frkq_dlkls', 8], ['5.2.d_j_t_bi_ca', '5.256.ad_awb_afcz_frkq_dlkls', 8], ['5.2.f_p_bh_ci_do', '5.256.ad_awb_afcz_frkq_dlkls', 8], ['5.2.ad_d_ab_e_ak', '5.16777216.axah_kyycrb_aeezalyfxh_bhpvmzxtlbnc_ailmqarwckdjavg', 24], ['5.2.ad_h_an_y_abm', '5.16777216.axah_kyycrb_aeezalyfxh_bhpvmzxtlbnc_ailmqarwckdjavg', 24], ['5.2.d_d_b_e_k', '5.16777216.axah_kyycrb_aeezalyfxh_bhpvmzxtlbnc_ailmqarwckdjavg', 24], ['5.2.d_h_n_y_bm', '5.16777216.axah_kyycrb_aeezalyfxh_bhpvmzxtlbnc_ailmqarwckdjavg', 24]]}
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av_fq_endalg_factors • Show schema
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id: 2911891
{'base_label': '5.2.ah_z_ach_ec_age', 'extension_degree': 1, 'extension_label': '1.2.ac', 'multiplicity': 2}
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id: 2911892
{'base_label': '5.2.ah_z_ach_ec_age', 'extension_degree': 1, 'extension_label': '3.2.ad_f_ah', 'multiplicity': 1}
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id: 2911893
{'base_label': '5.2.ah_z_ach_ec_age', 'extension_degree': 2, 'extension_label': '1.4.a', 'multiplicity': 2}
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id: 2911894
{'base_label': '5.2.ah_z_ach_ec_age', 'extension_degree': 2, 'extension_label': '3.4.b_d_af', 'multiplicity': 1}
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id: 2911895
{'base_label': '5.2.ah_z_ach_ec_age', 'extension_degree': 4, 'extension_label': '1.16.i', 'multiplicity': 2}
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id: 2911896
{'base_label': '5.2.ah_z_ach_ec_age', 'extension_degree': 4, 'extension_label': '3.16.f_br_fn', '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': '6.0.679024.1', 'center_dim': 6, 'divalg_dim': 1, 'extension_label': '3.2.ad_f_ah', 'galois_group': '6T11', 'places': [['0', '1', '0', '0', '0', '0'], ['1/2', '0', '1', '3/4', '3/2', '1/4']]}
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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': '1.4.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': '6.0.679024.1', 'center_dim': 6, 'divalg_dim': 1, 'extension_label': '3.4.b_d_af', 'galois_group': '6T11', 'places': [['0', '1', '0', '0', '0', '0'], ['1/2', '0', '1', '3/4', '3/2', '1/4']]}
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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': '6.0.679024.1', 'center_dim': 6, 'divalg_dim': 1, 'extension_label': '3.16.f_br_fn', 'galois_group': '6T11', 'places': [['0', '1', '0', '0', '0', '0'], ['1/2', '0', '1', '3/4', '3/2', '1/4']]}