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av_fq_isog • Show schema
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{'abvar_count': 49, 'abvar_counts': [49, 3969, 132496, 5433561, 275460409, 13908900096, 681131644249, 33230186580969, 1627398540096784, 79786105066421649], 'abvar_counts_str': '49 3969 132496 5433561 275460409 13908900096 681131644249 33230186580969 1627398540096784 79786105066421649 ', 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.439481140838162, 0.439481140838162], 'center_dim': 2, 'curve_count': 6, 'curve_counts': [6, 76, 384, 2260, 16386, 118222, 827070, 5764324, 40328448, 282453436], 'curve_counts_str': '6 76 384 2260 16386 118222 827070 5764324 40328448 282453436 ', 'curves': ['y^2=6*x^6+4*x^5+x^4+2*x^3+x^2+4*x+6', 'y^2=3*x^6+3*x^3+3'], 'dim1_distinct': 1, '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'], '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': 1, 'geometric_galois_groups': ['2T1'], 'geometric_number_fields': ['2.0.3.1'], 'geometric_splitting_field': '2.0.3.1', 'geometric_splitting_polynomials': [[1, -1, 1]], 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 2, 'is_cyclic': False, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': False, 'is_squarefree': False, 'is_supersingular': False, 'jacobian_count': 2, 'label': '2.7.ac_p', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 12, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [7], 'number_fields': ['2.0.3.1'], 'p': 7, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, -2, 15, -14, 49], 'poly_str': '1 -2 15 -14 49 ', 'primitive_models': [], 'q': 7, 'real_poly': [1, -2, 1], 'simple_distinct': ['1.7.ab'], 'simple_factors': ['1.7.abA', '1.7.abB'], 'simple_multiplicities': [2], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '2.0.3.1', 'splitting_polynomials': [[1, -1, 1]], 'twist_count': 24, 'twists': [['2.7.a_n', '2.49.ba_kh', 2], ['2.7.c_p', '2.49.ba_kh', 2], ['2.7.ai_be', '2.343.bo_bpu', 3], ['2.7.af_s', '2.343.bo_bpu', 3], ['2.7.b_ag', '2.343.bo_bpu', 3], ['2.7.e_j', '2.343.bo_bpu', 3], ['2.7.k_bn', '2.343.bo_bpu', 3], ['2.7.a_an', '2.2401.afm_oop', 4], ['2.7.ak_bn', '2.117649.wa_sbby', 6], ['2.7.aj_bi', '2.117649.wa_sbby', 6], ['2.7.ag_t', '2.117649.wa_sbby', 6], ['2.7.ae_j', '2.117649.wa_sbby', 6], ['2.7.ad_k', '2.117649.wa_sbby', 6], ['2.7.ab_ag', '2.117649.wa_sbby', 6], ['2.7.a_al', '2.117649.wa_sbby', 6], ['2.7.a_ac', '2.117649.wa_sbby', 6], ['2.7.d_k', '2.117649.wa_sbby', 6], ['2.7.f_s', '2.117649.wa_sbby', 6], ['2.7.g_t', '2.117649.wa_sbby', 6], ['2.7.i_be', '2.117649.wa_sbby', 6], ['2.7.j_bi', '2.117649.wa_sbby', 6], ['2.7.a_c', '2.13841287201.rmdw_gjxcinog', 12], ['2.7.a_l', '2.13841287201.rmdw_gjxcinog', 12]]}
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av_fq_endalg_factors • Show schema
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{'base_label': '2.7.ac_p', 'extension_degree': 1, 'extension_label': '1.7.ab', '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': '1.7.ab', 'galois_group': '2T1', 'places': [['4', '1'], ['2', '1']]}
