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av_fq_isog • Show schema
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{'abvar_count': 892, 'abvar_counts': [892, 281872, 146731324, 78256687104, 41445127160572, 21915733620886288, 11592180285046031548, 6132693683563722473472, 3244147130092840212010108, 1716155653883442087178573072], 'abvar_counts_str': '892 281872 146731324 78256687104 41445127160572 21915733620886288 11592180285046031548 6132693683563722473472 3244147130092840212010108 1716155653883442087178573072 ', 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.607271105588843, 0.872158939420846], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 36, 'curve_counts': [36, 534, 12060, 279646, 6439236, 148043382, 3404632764, 78312048574, 1801150562916, 41426506930134], 'curve_counts_str': '36 534 12060 279646 6439236 148043382 3404632764 78312048574 1801150562916 41426506930134 ', 'curves': ['y^2=7*x^6+20*x^4+9*x^3+3*x^2+21*x+9', 'y^2=2*x^6+6*x^4+14*x^3+13*x^2+10*x+19', 'y^2=22*x^6+4*x^5+18*x^3+7*x^2+x+6', 'y^2=12*x^6+10*x^5+22*x^4+21*x^3+17*x^2+21*x+7', 'y^2=3*x^6+22*x^5+21*x^3+22*x^2+11*x+2', 'y^2=9*x^6+8*x^5+13*x^4+4*x^3+16*x^2+17*x+9', 'y^2=12*x^6+16*x^5+7*x^4+12*x^3+9*x^2+18*x+1', 'y^2=12*x^6+11*x^5+20*x^4+18*x^3+19*x^2+2', 'y^2=12*x^6+x^5+20*x^4+20*x^3+2*x^2+18*x+19', 'y^2=16*x^6+6*x^5+8*x^4+20*x^3+10*x^2+7*x+15', 'y^2=5*x^6+15*x^5+4*x^4+11*x^3+x^2+14*x+9', 'y^2=4*x^6+12*x^5+14*x^4+18*x^3+19*x^2+15*x+16', 'y^2=11*x^6+19*x^5+12*x^4+10*x^3+13*x^2+9*x+4', 'y^2=4*x^6+2*x^5+12*x^4+2*x^3+13*x^2+11*x+22'], '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': 4, 'g': 2, 'galois_groups': ['4T1'], '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': ['4T1'], 'geometric_number_fields': ['4.0.18432.2'], 'geometric_splitting_field': '4.0.18432.2', 'geometric_splitting_polynomials': [[18, 0, 12, 0, 1]], 'group_structure_count': 2, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 14, 'is_geometrically_simple': True, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 14, 'label': '2.23.m_cw', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 2, 'newton_elevation': 0, 'number_fields': ['4.0.18432.2'], 'p': 23, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, 12, 74, 276, 529], 'poly_str': '1 12 74 276 529 ', 'primitive_models': [], 'q': 23, 'real_poly': [1, 12, 28], 'simple_distinct': ['2.23.m_cw'], 'simple_factors': ['2.23.m_cwA'], 'simple_multiplicities': [1], 'singular_primes': ['2,F^2+F-6'], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.18432.2', 'splitting_polynomials': [[18, 0, 12, 0, 1]], 'twist_count': 2, 'twists': [['2.23.am_cw', '2.529.e_adm', 2]], 'weak_equivalence_count': 4, 'zfv_index': 8, 'zfv_index_factorization': [[2, 3]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_plus_index': 2, 'zfv_plus_index_factorization': [[2, 1]], 'zfv_plus_norm': 1152, 'zfv_singular_count': 2, 'zfv_singular_primes': ['2,F^2+F-6']}
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av_fq_endalg_factors • Show schema
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{'base_label': '2.23.m_cw', 'extension_degree': 1, 'extension_label': '2.23.m_cw', 'multiplicity': 1}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0', '0', '0'], 'center': '4.0.18432.2', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.23.m_cw', 'galois_group': '4T1', 'places': [['5', '1', '0', '0'], ['3', '1', '0', '0'], ['18', '1', '0', '0'], ['20', '1', '0', '0']]}
