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av_fq_isog • Show schema
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{'abvar_count': 191, 'abvar_counts': [191, 36481, 4825424, 809914681, 137857749311, 23284716779776, 3937376348803319, 665492497144245225, 112455406969364764496, 19004759045094520974721], 'abvar_counts_str': '191 36481 4825424 809914681 137857749311 23284716779776 3937376348803319 665492497144245225 112455406969364764496 19004759045094520974721 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.399641868133505, 0.600358131866495], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 14, 'curve_counts': [14, 212, 2198, 28356, 371294, 4824038, 62748518, 815823748, 10604499374, 137857006772], 'curve_counts_str': '14 212 2198 28356 371294 4824038 62748518 815823748 10604499374 137857006772 ', 'curves': ['y^2=2*x^6+11*x^5+4*x^4+4*x^3+7*x^2+10', 'y^2=4*x^6+9*x^5+8*x^4+8*x^3+x^2+7', 'y^2=10*x^6+x^4+7*x^3+11*x^2+9*x+9', 'y^2=7*x^6+2*x^4+x^3+9*x^2+5*x+5', 'y^2=8*x^6+3*x^5+12*x^4+9*x^3+4*x^2+10*x+9', 'y^2=3*x^6+3*x^5+3*x^4+5*x^3+x^2+10*x+5', 'y^2=6*x^6+6*x^5+6*x^4+10*x^3+2*x^2+7*x+10', 'y^2=5*x^6+3*x^5+12*x^4+10*x^3+9*x^2+7*x+5', 'y^2=10*x^6+6*x^5+11*x^4+7*x^3+5*x^2+x+10'], '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': ['4T2'], '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': 2, 'geometric_galois_groups': ['2T1'], 'geometric_number_fields': ['2.0.235.1'], 'geometric_splitting_field': '2.0.235.1', 'geometric_splitting_polynomials': [[59, -1, 1]], 'group_structure_count': 1, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 9, 'is_cyclic': True, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 9, 'label': '2.13.a_v', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 4, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [], 'number_fields': ['4.0.55225.1'], 'p': 13, 'p_rank': 2, 'p_rank_deficit': 0, 'pic_prime_gens': [[1, 3, 1, 5]], 'poly': [1, 0, 21, 0, 169], 'poly_str': '1 0 21 0 169 ', 'primitive_models': [], 'principal_polarization_count': 10, 'q': 13, 'real_poly': [1, 0, -5], 'simple_distinct': ['2.13.a_v'], 'simple_factors': ['2.13.a_vA'], 'simple_multiplicities': [1], 'singular_primes': ['2,-F^2+6*F+V-2'], 'size': 10, 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.55225.1', 'splitting_polynomials': [[169, 0, 21, 0, 1]], 'twist_count': 2, 'twists': [['2.13.a_av', '2.28561.ahy_dwfb', 4]], 'weak_equivalence_count': 2, 'zfv_index': 4, 'zfv_index_factorization': [[2, 2]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_pic_size': 5, 'zfv_plus_index': 2, 'zfv_plus_index_factorization': [[2, 1]], 'zfv_plus_norm': 2209, 'zfv_singular_count': 2, 'zfv_singular_primes': ['2,-F^2+6*F+V-2']}
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av_fq_endalg_factors • Show schema
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id: 9119
{'base_label': '2.13.a_v', 'extension_degree': 1, 'extension_label': '2.13.a_v', 'multiplicity': 1}
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id: 9120
{'base_label': '2.13.a_v', 'extension_degree': 2, 'extension_label': '1.169.v', 'multiplicity': 2}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '4.0.55225.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.13.a_v', 'galois_group': '4T2', 'places': [['0', '21/13', '0', '1/13'], ['0', '1', '0', '0']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.235.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.169.v', 'galois_group': '2T1', 'places': [['10', '1'], ['2', '1']]}
