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av_fq_isog • Show schema
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{'abvar_count': 161, 'abvar_counts': [161, 34937, 4886672, 816722249, 138140196201, 23278072552448, 3935710960479137, 665448980992054217, 112459095120579951632, 19004957217422261625897], 'abvar_counts_str': '161 34937 4886672 816722249 138140196201 23278072552448 3935710960479137 665448980992054217 112459095120579951632 19004957217422261625897 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.321851226345849, 0.581600614125801], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 12, 'curve_counts': [12, 204, 2226, 28596, 372052, 4822662, 62721972, 815770404, 10604847162, 137858444284], 'curve_counts_str': '12 204 2226 28596 372052 4822662 62721972 815770404 10604847162 137858444284 ', 'curves': ['y^2=5*x^6+8*x^5+2*x^4+2*x^3+12*x^2+11*x+10', 'y^2=2*x^6+11*x^5+3*x^4+9*x^3+12*x+10', 'y^2=2*x^6+6*x^5+9*x^4+3*x^3+3*x+5', 'y^2=3*x^6+6*x^5+6*x^4+9*x^3+10*x^2+12*x+3', 'y^2=12*x^6+8*x^5+x^4+9*x^3+12*x^2+12', 'y^2=8*x^6+11*x^5+8*x^4+11*x^3+5*x^2+8*x+7', 'y^2=8*x^6+3*x^5+2*x^4+10*x^3+6*x^2+6*x+6', 'y^2=2*x^6+12*x^5+4*x^4+4*x^3+8*x^2+12*x+7', 'y^2=4*x^6+x^5+x^4+x^3+8*x^2+9*x+3', 'y^2=10*x^6+6*x^5+9*x^4+8*x^2+10*x+5', 'y^2=7*x^6+4*x^5+7*x^4+5*x^3+9*x^2+6*x+11', 'y^2=4*x^6+6*x^5+x^4+12*x^3+7*x^2+12*x+7', 'y^2=8*x^6+5*x^5+11*x^4+8*x^3+10*x^2+10*x+9', 'y^2=11*x^6+3*x^5+11*x^4+4*x^3+x^2+8*x+8', 'y^2=4*x^6+2*x^5+x^4+4*x^3+4*x^2+10*x+4', 'y^2=12*x^6+3*x^5+3*x^4+5*x^3+7*x^2+12*x+2', 'y^2=8*x^6+7*x^5+3*x^4+12*x^3+x^2+9', 'y^2=12*x^6+12*x^5+3*x^4+4*x^3+3*x^2+5*x+6'], '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': 2, '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': ['4.0.116288.1'], 'geometric_splitting_field': '4.0.116288.1', 'geometric_splitting_polynomials': [[119, -22, 23, -2, 1]], 'group_structure_count': 1, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 18, 'is_geometrically_simple': True, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 18, 'label': '2.13.ac_t', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 2, 'newton_elevation': 0, 'number_fields': ['4.0.116288.1'], 'p': 13, 'p_rank': 2, 'p_rank_deficit': 0, 'pic_prime_gens': [[1, 7, 1, 6], [1, 7, 2, 6]], 'poly': [1, -2, 19, -26, 169], 'poly_str': '1 -2 19 -26 169 ', 'primitive_models': [], 'principal_polarization_count': 18, 'q': 13, 'real_poly': [1, -2, -7], 'simple_distinct': ['2.13.ac_t'], 'simple_factors': ['2.13.ac_tA'], 'simple_multiplicities': [1], 'singular_primes': ['2,-3*F^2+4*F+V'], 'size': 18, 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.116288.1', 'splitting_polynomials': [[119, -22, 23, -2, 1]], 'twist_count': 2, 'twists': [['2.13.c_t', '2.169.bi_wx', 2]], 'weak_equivalence_count': 2, 'zfv_index': 4, 'zfv_index_factorization': [[2, 2]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_pic_size': 12, 'zfv_plus_index': 2, 'zfv_plus_index_factorization': [[2, 1]], 'zfv_plus_norm': 1817, 'zfv_singular_count': 2, 'zfv_singular_primes': ['2,-3*F^2+4*F+V']}
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av_fq_endalg_factors • Show schema
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{'base_label': '2.13.ac_t', 'extension_degree': 1, 'extension_label': '2.13.ac_t', 'multiplicity': 1}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '4.0.116288.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.13.ac_t', 'galois_group': '4T3', 'places': [['1', '2', '12', '0'], ['11', '0', '1', '0']]}
