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av_fq_isog • Show schema
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{'abvar_count': 378, 'abvar_counts': [378, 102060, 23528232, 6923750400, 2019238275978, 582713369521920, 168369349372734762, 48661176452636160000, 14063067463168537887528, 4064232348797441086104300], 'abvar_counts_str': '378 102060 23528232 6923750400 2019238275978 582713369521920 168369349372734762 48661176452636160000 14063067463168537887528 4064232348797441086104300 ', 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.5, 0.618522015261412], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 21, 'curve_counts': [21, 349, 4788, 82897, 1422141, 24141346, 410318013, 6975755233, 118587733236, 2015994367789], 'curve_counts_str': '21 349 4788 82897 1422141 24141346 410318013 6975755233 118587733236 2015994367789 ', 'curves': ['y^2=7*x^6+3*x^5+14*x^4+10*x^3+16*x^2+2*x+7', 'y^2=x^6+7*x^5+4*x^4+6*x^3+15*x^2+12*x+10', 'y^2=13*x^6+12*x^4+5*x^3+6*x^2+11*x+13', 'y^2=5*x^5+3*x^4+15*x^3+4*x^2+6*x+9', 'y^2=10*x^6+10*x^5+2*x^4+11*x^3+3*x^2+x+15', 'y^2=16*x^6+12*x^5+10*x^4+14*x^3+x^2+9*x+9', 'y^2=9*x^6+4*x^5+15*x^4+2*x^2+2*x+1', 'y^2=12*x^5+8*x^4+3*x^3+9*x+1', 'y^2=12*x^6+6*x^5+13*x^4+8*x^3+13*x^2+3*x+11', 'y^2=8*x^6+5*x^5+4*x^4+6*x^3+16*x^2+4*x+4', 'y^2=3*x^6+11*x^5+13*x^4+13*x^3+2*x^2+3*x+1', 'y^2=16*x^6+9*x^4+11*x^3+16*x^2+2*x+5'], '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': 4, 'g': 2, 'galois_groups': ['2T1', '2T1'], 'geom_dim1_distinct': 2, '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': 3, 'geometric_extension_degree': 2, 'geometric_galois_groups': ['1T1', '2T1'], 'geometric_number_fields': ['1.1.1.1', '2.0.59.1'], 'geometric_splitting_field': '2.0.59.1', 'geometric_splitting_polynomials': [[15, -1, 1]], 'group_structure_count': 2, 'has_geom_ss_factor': True, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 12, 'is_cyclic': False, 'is_geometrically_simple': False, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': False, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 12, 'label': '2.17.d_bi', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 4, 'max_twist_degree': 2, 'newton_coelevation': 1, 'newton_elevation': 1, 'noncyclic_primes': [3], 'number_fields': ['2.0.68.1', '2.0.59.1'], 'p': 17, 'p_rank': 1, 'p_rank_deficit': 1, 'poly': [1, 3, 34, 51, 289], 'poly_str': '1 3 34 51 289 ', 'primitive_models': [], 'q': 17, 'real_poly': [1, 3], 'simple_distinct': ['1.17.a', '1.17.d'], 'simple_factors': ['1.17.aA', '1.17.dA'], 'simple_multiplicities': [1, 1], 'singular_primes': ['3,5*V+4', '3,-F-2'], 'slopes': ['0A', '1/2A', '1/2B', '1A'], 'splitting_field': '4.0.16096144.1', 'splitting_polynomials': [[21, -64, 65, -2, 1]], 'twist_count': 2, 'twists': [['2.17.ad_bi', '2.289.ch_ccy', 2]], 'weak_equivalence_count': 4, 'zfv_index': 9, 'zfv_index_factorization': [[3, 2]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 4012, 'zfv_singular_count': 4, 'zfv_singular_primes': ['3,5*V+4', '3,-F-2']}
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av_fq_endalg_factors • Show schema
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id: 11292
{'base_label': '2.17.d_bi', 'extension_degree': 1, 'extension_label': '1.17.a', 'multiplicity': 1}
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id: 11293
{'base_label': '2.17.d_bi', 'extension_degree': 1, 'extension_label': '1.17.d', 'multiplicity': 1}
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id: 11294
{'base_label': '2.17.d_bi', 'extension_degree': 2, 'extension_label': '1.289.z', 'multiplicity': 1}
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id: 11295
{'base_label': '2.17.d_bi', 'extension_degree': 2, 'extension_label': '1.289.bi', 'multiplicity': 1}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0'], 'center': '2.0.68.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.17.a', 'galois_group': '2T1', 'places': [['0', '1']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.59.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.17.d', 'galois_group': '2T1', 'places': [['1', '1'], ['15', '1']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.59.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.289.z', 'galois_group': '2T1', 'places': [['15', '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': '1.289.bi', 'galois_group': '1T1', 'places': [['0']]}
