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av_fq_isog • Show schema
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{'abvar_count': 180, 'abvar_counts': [180, 126000, 47764080, 17061912000, 6133935663900, 2213253727776000, 799009601161295340, 288445037185938528000, 104127924804774190734960, 37590021145906989987150000], 'abvar_counts_str': '180 126000 47764080 17061912000 6133935663900 2213253727776000 799009601161295340 288445037185938528000 104127924804774190734960 37590021145906989987150000 ', 'angle_rank': 2, 'angles': [0.130073469146503, 0.30556997246711], 'center_dim': 4, 'curve_count': 7, 'curve_counts': [7, 349, 6964, 130921, 2477257, 47044582, 893875003, 16983776401, 322689478156, 6131074035949], 'curve_counts_str': '7 349 6964 130921 2477257 47044582 893875003 16983776401 322689478156 6131074035949 ', 'curves': ['y^2=12*x^6+8*x^5+5*x^4+18*x^2+4*x+4', 'y^2=2*x^6+10*x^5+11*x^4+2*x^3+7*x^2+11*x+10', 'y^2=16*x^5+18*x^4+3*x^3+3*x^2+12*x+8', 'y^2=14*x^6+2*x^5+3*x^4+16*x^3+x^2+18*x+17'], '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, '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': 4, 'geometric_extension_degree': 1, 'geometric_galois_groups': ['2T1', '2T1'], 'geometric_number_fields': ['2.0.3.1', '2.0.51.1'], 'geometric_splitting_field': '4.0.2601.1', 'geometric_splitting_polynomials': [[16, 4, 5, -1, 1]], 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 4, 'is_geometrically_simple': False, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': False, 'is_squarefree': True, 'jacobian_count': 4, 'label': '2.19.an_da', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 6, 'number_fields': ['2.0.3.1', '2.0.51.1'], 'p': 19, 'p_rank': 2, 'p_rank_deficit': 0, 'pic_prime_gens': [[2, 5, 1, 6]], 'poly': [1, -13, 78, -247, 361], 'poly_str': '1 -13 78 -247 361 ', 'primitive_models': [], 'principal_polarization_count': 8, 'q': 19, 'real_poly': [1, -13, 40], 'simple_distinct': ['1.19.ai', '1.19.af'], 'simple_factors': ['1.19.aiA', '1.19.afA'], 'simple_multiplicities': [1, 1], 'size': 16, 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.2601.1', 'splitting_polynomials': [[16, 4, 5, -1, 1]], 'twist_count': 12, 'twists': [['2.19.ad_ac', '2.361.an_ou', 2], ['2.19.d_ac', '2.361.an_ou', 2], ['2.19.n_da', '2.361.an_ou', 2], ['2.19.ae_bh', '2.6859.ea_hba', 3], ['2.19.c_d', '2.6859.ea_hba', 3], ['2.19.am_cv', '2.47045881.abya_acrgkac', 6], ['2.19.ag_br', '2.47045881.abya_acrgkac', 6], ['2.19.ac_d', '2.47045881.abya_acrgkac', 6], ['2.19.e_bh', '2.47045881.abya_acrgkac', 6], ['2.19.g_br', '2.47045881.abya_acrgkac', 6], ['2.19.m_cv', '2.47045881.abya_acrgkac', 6]], 'zfv_index': 18, 'zfv_index_factorization': [[2, 1], [3, 2]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 612}
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av_fq_endalg_factors • Show schema
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id: 12676
{'base_label': '2.19.an_da', 'extension_degree': 1, 'extension_label': '1.19.ai', 'multiplicity': 1}
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id: 12677
{'base_label': '2.19.an_da', 'extension_degree': 1, 'extension_label': '1.19.af', 'multiplicity': 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': '1.19.ai', 'galois_group': '2T1', 'places': [['7', '1'], ['11', '1']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.51.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.19.af', 'galois_group': '2T1', 'places': [['16', '1'], ['2', '1']]}