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av_fq_isog • Show schema
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{'abvar_count': 618, 'abvar_counts': [618, 322596, 146894274, 78079845456, 41432054052498, 21913960724881092, 11593048453683141594, 6132645899738478056448, 3244144339213676628225498, 1716155362286991340213114116], 'abvar_counts_str': '618 322596 146894274 78079845456 41432054052498 21913960724881092 11593048453683141594 6132645899738478056448 3244144339213676628225498 1716155362286991340213114116 ', 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.445112334578021, 0.624108999465104], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 26, 'curve_counts': [26, 606, 12074, 279014, 6437206, 148031406, 3404887750, 78311438398, 1801149013418, 41426499891246], 'curve_counts_str': '26 606 12074 279014 6437206 148031406 3404887750 78311438398 1801149013418 41426499891246 ', 'curves': ['y^2=14*x^6+13*x^5+8*x^4+21*x^3+14*x+18', 'y^2=11*x^6+14*x^5+18*x^4+4*x^3+7*x^2+12*x+7', 'y^2=18*x^6+7*x^5+18*x^4+2*x^3+8*x^2+14*x+15', 'y^2=x^6+13*x^5+11*x^4+10*x^3+10*x^2+17*x+16', 'y^2=3*x^6+3*x^5+4*x^3+8*x^2+2*x+1', 'y^2=7*x^6+21*x^5+10*x^4+10*x^3+11*x^2+20*x+20', 'y^2=7*x^6+18*x^5+4*x^4+8*x^3+18*x^2+7*x+16', 'y^2=3*x^6+6*x^5+2*x^4+15*x^3+3*x^2+22*x+22', 'y^2=3*x^6+2*x^5+12*x^4+4*x^3+22*x^2+22*x+11', 'y^2=17*x^6+17*x^5+8*x^3+19*x^2+x+2', 'y^2=20*x^6+22*x^5+14*x^4+6*x^3+18*x^2+8*x+2', 'y^2=13*x^6+16*x^5+13*x^3+14*x^2+15*x+7', 'y^2=22*x^6+12*x^5+21*x^4+x^3+4*x^2+13*x+19', 'y^2=8*x^6+3*x^5+20*x^4+15*x^3+10*x^2+21*x+19', 'y^2=18*x^6+21*x^5+13*x^4+5*x^3+21*x^2+3*x+21', 'y^2=10*x^6+6*x^5+8*x^4+4*x^3+13*x^2+x+8', 'y^2=8*x^6+x^5+14*x^4+14*x^3+12*x^2+21*x+1', 'y^2=14*x^6+14*x^5+19*x^4+6*x^3+11*x^2+13*x+22', 'y^2=16*x^6+14*x^5+17*x^4+11*x^3+10*x+17', 'y^2=6*x^6+21*x^5+3*x^4+16*x^3+4*x^2+19*x+2'], 'dim1_distinct': 0, 'dim1_factors': 0, 'dim2_distinct': 1, 'dim2_factors': 1, 'dim3_distinct': 0, 'dim3_factors': 0, 'dim4_distinct': 0, 'dim4_factors': 0, 'dim5_distinct': 0, 'dim5_factors': 0, 'endomorphism_ring_count': 1, 'g': 2, 'galois_groups': ['4T3'], 'geom_dim1_distinct': 0, 'geom_dim1_factors': 0, 'geom_dim2_distinct': 1, 'geom_dim2_factors': 1, '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': ['4T3'], 'geometric_number_fields': ['4.0.5509952.1'], 'geometric_splitting_field': '4.0.5509952.1', 'geometric_splitting_polynomials': [[522, -32, 40, -2, 1]], 'group_structure_count': 1, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 20, 'is_geometrically_simple': True, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 20, 'label': '2.23.c_bo', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 2, 'newton_elevation': 0, 'number_fields': ['4.0.5509952.1'], 'p': 23, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, 2, 40, 46, 529], 'poly_str': '1 2 40 46 529 ', 'primitive_models': [], 'q': 23, 'real_poly': [1, 2, -6], 'simple_distinct': ['2.23.c_bo'], 'simple_factors': ['2.23.c_boA'], 'simple_multiplicities': [1], 'singular_primes': [], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.5509952.1', 'splitting_polynomials': [[522, -32, 40, -2, 1]], 'twist_count': 2, 'twists': [['2.23.ac_bo', '2.529.cy_dre', 2]], 'weak_equivalence_count': 1, 'zfv_index': 1, 'zfv_index_factorization': [], 'zfv_is_bass': True, 'zfv_is_maximal': True, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 7028, 'zfv_singular_count': 0, 'zfv_singular_primes': []}
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av_fq_endalg_factors • Show schema
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{'base_label': '2.23.c_bo', 'extension_degree': 1, 'extension_label': '2.23.c_bo', 'multiplicity': 1}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '4.0.5509952.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.23.c_bo', 'galois_group': '4T3', 'places': [['7/23', '39/23', '528/23', '1/23'], ['22', '1', '0', '0']]}
