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av_fq_isog • Show schema
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{'abvar_count': 144, 'abvar_counts': [144, 32832, 4826304, 821193984, 138594214224, 23293210300416, 3935668743494352, 665399771295667200, 112455406959154934976, 19004886538871760447552], 'abvar_counts_str': '144 32832 4826304 821193984 138594214224 23293210300416 3935668743494352 665399771295667200 112455406959154934976 19004886538871760447552 ', 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.2561228541777, 0.589456187511033], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 11, 'curve_counts': [11, 193, 2198, 28753, 373271, 4825798, 62721299, 815710081, 10604499374, 137857931593], 'curve_counts_str': '11 193 2198 28753 373271 4825798 62721299 815710081 10604499374 137857931593 ', 'curves': ['y^2=4*x^5+2*x^4+11*x^3+7*x+8', 'y^2=9*x^6+11*x^5+4*x^4+12*x^3+9*x^2+3*x+12', 'y^2=10*x^6+12*x^5+8*x^4+11*x^3+4*x^2+4*x+2', 'y^2=11*x^6+8*x^5+7*x^4+10*x^3+7*x^2+9*x+2', 'y^2=5*x^6+4*x^5+10*x^4+x^3+10*x^2+8*x+4', 'y^2=6*x^5+5*x^3+12*x^2+6*x+8', 'y^2=6*x^5+10*x^4+9*x^3+9*x^2+9*x+3', 'y^2=x^6+x^3+6', 'y^2=12*x^6+4*x^5+11*x^3+8*x^2+9*x+10', 'y^2=7*x^6+6*x^5+2*x^4+9*x^3+8*x^2+2*x', 'y^2=2*x^6+11*x^5+8*x^4+4*x^3+12', 'y^2=2*x^6+2*x^5+7*x^4+4*x^3+5*x^2+9*x+9', 'y^2=11*x^6+3*x^5+10*x^4+x^3+7*x^2+7', 'y^2=12*x^6+5*x^5+11*x^4+11*x^3+3*x^2+10*x+9'], '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': 24, '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': 6, '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': 6, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 14, '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': 14, 'label': '2.13.ad_q', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 12, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [2, 3], 'number_fields': ['2.0.3.1', '2.0.3.1'], 'p': 13, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, -3, 16, -39, 169], 'poly_str': '1 -3 16 -39 169 ', 'primitive_models': [], 'q': 13, 'real_poly': [1, -3, -10], 'simple_distinct': ['1.13.af', '1.13.c'], 'simple_factors': ['1.13.afA', '1.13.cA'], 'simple_multiplicities': [1, 1], 'singular_primes': ['3,6*F+2*V+7', '7,-9*F-4*V', '7,2*F+V', '2,-F+9'], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '2.0.3.1', 'splitting_polynomials': [[1, -1, 1]], 'twist_count': 24, 'twists': [['2.13.ah_bk', '2.169.x_nw', 2], ['2.13.h_bk', '2.169.x_nw', 2], ['2.13.am_cj', '2.2197.a_atm', 3], ['2.13.aj_bo', '2.2197.a_atm', 3], ['2.13.a_ax', '2.2197.a_atm', 3], ['2.13.a_b', '2.2197.a_atm', 3], ['2.13.a_w', '2.2197.a_atm', 3], ['2.13.d_q', '2.2197.a_atm', 3], ['2.13.j_bo', '2.2197.a_atm', 3], ['2.13.m_cj', '2.2197.a_atm', 3], ['2.13.ao_cx', '2.4826809.abmy_vrvgo', 6], ['2.13.ak_bz', '2.4826809.abmy_vrvgo', 6], ['2.13.af_m', '2.4826809.abmy_vrvgo', 6], ['2.13.ae_be', '2.4826809.abmy_vrvgo', 6], ['2.13.ac_aj', '2.4826809.abmy_vrvgo', 6], ['2.13.a_w', '2.4826809.abmy_vrvgo', 6], ['2.13.c_aj', '2.4826809.abmy_vrvgo', 6], ['2.13.e_be', '2.4826809.abmy_vrvgo', 6], ['2.13.f_m', '2.4826809.abmy_vrvgo', 6], ['2.13.k_bz', '2.4826809.abmy_vrvgo', 6], ['2.13.o_cx', '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': 24, 'zfv_index': 588, 'zfv_index_factorization': [[2, 2], [3, 1], [7, 2]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 1296, 'zfv_singular_count': 8, 'zfv_singular_primes': ['3,6*F+2*V+7', '7,-9*F-4*V', '7,2*F+V', '2,-F+9']}
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av_fq_endalg_factors • Show schema
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id: 9581
{'base_label': '2.13.ad_q', 'extension_degree': 1, 'extension_label': '1.13.af', 'multiplicity': 1}
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id: 9582
{'base_label': '2.13.ad_q', 'extension_degree': 1, 'extension_label': '1.13.c', 'multiplicity': 1}
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id: 9583
{'base_label': '2.13.ad_q', 'extension_degree': 2, 'extension_label': '1.169.b', 'multiplicity': 1}
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id: 9584
{'base_label': '2.13.ad_q', 'extension_degree': 2, 'extension_label': '1.169.w', 'multiplicity': 1}
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id: 9585
{'base_label': '2.13.ad_q', 'extension_degree': 3, 'extension_label': '1.2197.acs', 'multiplicity': 1}
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id: 9586
{'base_label': '2.13.ad_q', 'extension_degree': 3, 'extension_label': '1.2197.cs', 'multiplicity': 1}
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id: 9587
{'base_label': '2.13.ad_q', 'extension_degree': 6, 'extension_label': '1.4826809.atm', '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.c', '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': '1.169.b', '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': '1.169.w', 'galois_group': '2T1', 'places': [['9', '1'], ['3', '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.acs', 'galois_group': '2T1', 'places': [['9', '1'], ['3', '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']]}
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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': '1.4826809.atm', 'galois_group': '2T1', 'places': [['9', '1'], ['3', '1']]}
