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av_fq_isog • Show schema
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{'abvar_count': 354, 'abvar_counts': [354, 383028, 245223234, 152465061456, 95305798099794, 59597974337790996, 37253171563634889426, 23283234873186725680128, 14551938035580978069408018, 9094948293446947741852666068], 'abvar_counts_str': '354 383028 245223234 152465061456 95305798099794 59597974337790996 37253171563634889426 23283234873186725680128 14551938035580978069408018 9094948293446947741852666068 ', 'angle_rank': 2, 'angles': [0.0849786306215591, 0.356598155417503], 'center_dim': 4, 'curve_count': 12, 'curve_counts': [12, 614, 15696, 390310, 9759312, 244113302, 6103559628, 152589008062, 3814703244396, 95367445017494], 'curve_counts_str': '12 614 15696 390310 9759312 244113302 6103559628 152589008062 3814703244396 95367445017494 ', 'curves': ['y^2=(a+4)*x^6+x^5+a*x^4+(a+4)*x^3+a*x^2+2*a+4', 'y^2=a*x^6+(4*a+1)*x^5+2*a*x^4+(3*a+4)*x^3+(4*a+4)*x^2+(2*a+3)*x', 'y^2=(3*a+1)*x^6+(4*a+2)*x^5+(2*a+4)*x^4+x^3+(4*a+2)*x^2+(a+3)*x+3*a+2', 'y^2=(4*a+1)*x^6+a*x^5+(3*a+2)*x^4+(2*a+2)*x^3+(a+3)*x^2+3*a*x'], '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, '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': ['4.0.442176.2'], 'geometric_splitting_field': '4.0.442176.2', 'geometric_splitting_polynomials': [[57, 30, 20, -2, 1]], 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 4, 'is_geometrically_simple': True, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'jacobian_count': 4, 'label': '2.25.ao_do', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'number_fields': ['4.0.442176.2'], 'p': 5, 'p_rank': 2, 'p_rank_deficit': 0, 'pic_prime_gens': [[1, 2, 1, 2], [1, 3, 1, 2]], 'poly': [1, -14, 92, -350, 625], 'poly_str': '1 -14 92 -350 625 ', 'primitive_models': [], 'principal_polarization_count': 4, 'q': 25, 'real_poly': [1, -14, 42], 'simple_distinct': ['2.25.ao_do'], 'simple_factors': ['2.25.ao_doA'], 'simple_multiplicities': [1], 'size': 4, 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.442176.2', 'splitting_polynomials': [[57, 30, 20, -2, 1]], 'twist_count': 2, 'twists': [['2.25.o_do', '2.625.am_adi', 2]], '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': 564}
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av_fq_endalg_factors • Show schema
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{'base_label': '2.25.ao_do', 'extension_degree': 1, 'extension_label': '2.25.ao_do', 'multiplicity': 1}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '4.0.442176.2', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.25.ao_do', 'galois_group': '4T3', 'places': [['17/25', '28/25', '2/25', '1/25'], ['1', '1', '0', '0']]}