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av_fq_isog • Show schema
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{'abvar_count': 189, 'abvar_counts': [189, 25137, 5143824, 819893529, 138305860749, 23293210300416, 3936459529677717, 665387401595286825, 112452896477996048016, 19005060581950480989777], 'abvar_counts_str': '189 25137 5143824 819893529 138305860749 23293210300416 3936459529677717 665387401595286825 112452896477996048016 19005060581950480989777 ', 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.2561228541777, 0.922789520844367], 'center_dim': 4, 'cohen_macaulay_max': 2, 'curve_count': 16, 'curve_counts': [16, 148, 2338, 28708, 372496, 4825798, 62733904, 815694916, 10604262634, 137859194068], 'curve_counts_str': '16 148 2338 28708 372496 4825798 62733904 815694916 10604262634 137859194068 ', 'curves': ['y^2=x^6+9', 'y^2=x^6+5*x^5+8*x^4+11*x^3+4*x^2+6*x+7', 'y^2=x^6+x^3+3', 'y^2=10*x^6+8*x^5+9*x^4+6*x^3+x^2+7*x+10'], 'dim1_distinct': 2, 'dim1_factors': 2, 'dim2_distinct': 0, 'dim2_factors': 0, 'dim3_distinct': 0, 'dim3_factors': 0, 'dim4_distinct': 0, 'dim4_factors': 0, 'dim5_distinct': 0, 'dim5_factors': 0, 'endomorphism_ring_count': 15, 'g': 2, 'galois_groups': ['2T1', '2T1'], 'geom_dim1_distinct': 1, 'geom_dim1_factors': 2, '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': 3, 'geometric_galois_groups': ['2T1'], 'geometric_number_fields': ['2.0.3.1'], 'geometric_splitting_field': '2.0.3.1', 'geometric_splitting_polynomials': [[1, -1, 1]], 'group_structure_count': 3, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 4, 'is_cyclic': False, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': False, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 4, 'label': '2.13.c_aj', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 12, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [3], 'number_fields': ['2.0.3.1', '2.0.3.1'], 'p': 13, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, 2, -9, 26, 169], 'poly_str': '1 2 -9 26 169 ', 'primitive_models': [], 'q': 13, 'real_poly': [1, 2, -35], 'simple_distinct': ['1.13.af', '1.13.h'], 'simple_factors': ['1.13.afA', '1.13.hA'], 'simple_multiplicities': [1, 1], 'singular_primes': ['3,-F+4', '2,F^2+7*F+19'], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '2.0.3.1', 'splitting_polynomials': [[1, -1, 1]], 'twist_count': 24, 'twists': [['2.13.am_cj', '2.169.aw_md', 2], ['2.13.ac_aj', '2.169.aw_md', 2], ['2.13.m_cj', '2.169.aw_md', 2], ['2.13.ak_bz', '2.2197.fk_ntm', 3], ['2.13.ah_bk', '2.2197.fk_ntm', 3], ['2.13.ae_be', '2.2197.fk_ntm', 3], ['2.13.f_m', '2.2197.fk_ntm', 3], ['2.13.o_cx', '2.2197.fk_ntm', 3], ['2.13.ao_cx', '2.4826809.abmy_vrvgo', 6], ['2.13.aj_bo', '2.4826809.abmy_vrvgo', 6], ['2.13.af_m', '2.4826809.abmy_vrvgo', 6], ['2.13.ad_q', '2.4826809.abmy_vrvgo', 6], ['2.13.a_ax', '2.4826809.abmy_vrvgo', 6], ['2.13.a_b', '2.4826809.abmy_vrvgo', 6], ['2.13.a_w', '2.4826809.abmy_vrvgo', 6], ['2.13.d_q', '2.4826809.abmy_vrvgo', 6], ['2.13.e_be', '2.4826809.abmy_vrvgo', 6], ['2.13.h_bk', '2.4826809.abmy_vrvgo', 6], ['2.13.j_bo', '2.4826809.abmy_vrvgo', 6], ['2.13.k_bz', '2.4826809.abmy_vrvgo', 6], ['2.13.a_aw', '2.23298085122481.bpdjmy_ywbbhwbngo', 12], ['2.13.a_ab', '2.23298085122481.bpdjmy_ywbbhwbngo', 12], ['2.13.a_x', '2.23298085122481.bpdjmy_ywbbhwbngo', 12]], 'weak_equivalence_count': 18, 'zfv_index': 432, 'zfv_index_factorization': [[2, 4], [3, 3]], 'zfv_is_bass': False, 'zfv_is_maximal': False, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 81, 'zfv_singular_count': 4, 'zfv_singular_primes': ['3,-F+4', '2,F^2+7*F+19']}
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av_fq_endalg_factors • Show schema
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id: 9433
{'base_label': '2.13.c_aj', 'extension_degree': 1, 'extension_label': '1.13.af', 'multiplicity': 1}
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id: 9434
{'base_label': '2.13.c_aj', 'extension_degree': 1, 'extension_label': '1.13.h', 'multiplicity': 1}
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id: 9435
{'base_label': '2.13.c_aj', 'extension_degree': 3, 'extension_label': '1.2197.cs', 'multiplicity': 2}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.3.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.13.af', 'galois_group': '2T1', 'places': [['3', '1'], ['9', '1']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.3.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.13.h', 'galois_group': '2T1', 'places': [['3', '1'], ['9', '1']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.3.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.2197.cs', 'galois_group': '2T1', 'places': [['3', '1'], ['9', '1']]}
